Math Problem Statement

Complete the ratio table from the provided image.

Solution

From the image, we are solving a ratio table problem. The goal is to fill in the missing entries in the table based on proportional relationships.

The table appears as follows:

Column 1Column 2
132
?32
58?
60?
100100

Let us compute step-by-step:


1. Find the ratio factor:

From the first row:

  • 1321 \mapsto 32: The ratio is 32×32 \times.

This ratio applies to the entire table.


2. Fill in the missing entries:

  • Row 2, Column 1: What number gives 32 in Column 2? Value=3232=1\text{Value} = \frac{32}{32} = 1

  • Row 3, Column 2: 58 scaled by 3232: 58×32=185658 \times 32 = 1856

  • Row 4, Column 2: 60 scaled by 3232: 60×32=192060 \times 32 = 1920

  • Row 5, Column 1: To get 100 in Column 2, divide: Value=100323.125\text{Value} = \frac{100}{32} \approx 3.125


Updated Table:

Column 1Column 2
132
132
581856
601920
3.125100

Would you like further clarification or detailed explanations for any specific row? Here are some related questions for practice:


  1. What is the importance of identifying the ratio in a proportional relationship?
  2. How can you verify if two values in a table are proportional?
  3. Can you think of a real-world example where ratio tables are helpful?
  4. What happens if one of the values in a ratio table is negative?
  5. How would you compute ratios if decimals are introduced?

Tip: Always start by finding the ratio or scaling factor between corresponding entries! This simplifies solving ratio tables efficiently.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Ratios
Proportional Relationships
Scaling

Formulas

Scaling factor = value in one column / corresponding value in another column
Missing value = known value × scaling factor

Theorems

Proportionality in ratio tables

Suitable Grade Level

Grades 6-8