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We are tasked with determining the food supply after Day 4 based on the table, which shows the changes in food supply each day.

### Step 1: Initial food supply
The initial food supply is given as **100.75 pounds**.

### Step 2: Changes in food supply over the days
The changes in food supply for each day are as follows:
- Day 1: \(-20 \frac{1}{6}\) pounds
- Day 2: \(-23 \frac{3}{8}\) pounds
- Day 3: \(-25.25\) pounds
- Day 4: \(75 \frac{3}{4}\) pounds

### Step 3: Convert mixed fractions to decimals
To make calculations easier, let's first convert the mixed fractions to decimals.
- \(-20 \frac{1}{6} = -20 - \frac{1}{6} \approx -20.1667\)
- \(-23 \frac{3}{8} = -23 - \frac{3}{8} = -23.375\)
- \(75 \frac{3}{4} = 75 + \frac{3}{4} = 75.75\)

### Step 4: Calculate the total change in food supply
Now, sum up all the changes in food supply:
\[
\text{Total change} = -20.1667 + (-23.375) + (-25.25) + 75.75
\]

Let's calculate this step by step:
\[
-20.1667 - 23.375 = -43.5417
\]
\[
-43.5417 - 25.25 = -68.7917
\]
\[
-68.7917 + 75.75 = 6.9583
\]

### Step 5: Determine the final food supply
The final food supply is the initial food supply plus the total change:
\[
\text{Final food supply} = 100.75 + 6.9583 = 107.7083 \, \text{pounds}
\]

### Step 6: Round the final answer
Rounding to two decimal places, the final food supply after Day 4 is approximately **107.71 pounds**.

Would you like more details or have any questions?

Here are some related questions to expand on this:
1. How would the food supply change if the zookeeper added 10 pounds on Day 5?
2. How does converting mixed fractions to decimals help in calculations?
3. What is the percentage change in food supply from Day 1 to Day 4?
4. How would the food supply look after 7 days if the change followed the same pattern?
5. What is the total amount of food consumed by the sea otter over the 4 days?

**Tip:** Always ensure fractions are converted to a consistent format like decimals when performing calculations involving mixed numbers.

The zookeeper starts with 100.75 pounds of food and tracks how much the sea otter eats and any food deliveries. What is the food supply after Day 4, based on the changes provided in the table?

Learn how to calculate the remaining food supply after Day 4 for a sea otter. Starting with 100.75 pounds, see how changes like -20 1/6, -23 3/8, and +75 3/4 affect the final amount. This problem involves the conversion of mixed fractions to decimals and is suitable for Grades 5-7.

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