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The question asks to find the number that makes the ratio equivalent to \(3:11\) when paired with 27. To solve this, let's set up the equivalent ratio:

Given ratio: \(3:11\)

The ratio involving 27 is \(\frac{27}{x}\), where \(x\) is the unknown number we need to find.

To find \(x\), set up the proportion:

\[
\frac{3}{11} = \frac{27}{x}
\]

Cross-multiplying gives:

\[
3 \times x = 11 \times 27
\]

\[
3x = 297
\]

Now, solve for \(x\):

\[
x = \frac{297}{3} = 99
\]

Therefore, the number that makes the ratio equivalent to \(3:11\) is **99**.

Would you like more details on this calculation or have any other questions?

Here are some related questions:
1. How do you find equivalent ratios?
2. What are proportions and how are they used in solving ratios?
3. How can you check if two ratios are equivalent?
4. What are real-life examples where equivalent ratios are used?
5. How can equivalent ratios help in solving problems involving scaling?

**Tip:** When working with ratios, always try cross-multiplication to set up an equation and solve for the unknown value.

Find the number that makes the ratio equivalent to 3:11 for the given number 27.

Learn how to solve for the number that makes the ratio equivalent to 3:11 when one value is 27. This problem covers ratio and proportion concepts using cross-multiplication. Suitable for students in Grades 6-8.

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