Question

Create a proportional ratio to the given ratio:
25/12

Options for top box:

75, 44, 45, 66.

Options for bottom box:

81, 55, 39, 36.

Answer 1

To create a proportional ratio to the given ratio of \( \frac{25}{12} \), we can set up the relationship as follows:

Let \( x \) be the value for the top box and \( y \) be the value for the bottom box. We want:

\[
\frac{x}{y} = \frac{25}{12}
\]

Cross-multiplying gives us:

\[
25y = 12x
\]

Now, we need to check the provided options to find which combinations hold true to this equation.

### Options for Top Box: 75, 44, 45, 66
### Options for Bottom Box: 81, 55, 39, 36

We'll check each combination:

1. **Top = 75**:
\[
25y = 12 \cdot 75 \implies 25y = 900 \implies y = \frac{900}{25} = 36
\]
Here, \( y = 36 \) is in the options.

2. **Top = 44**:
\[
25y = 12 \cdot 44 \implies 25y = 528 \implies y = \frac{528}{25} = 21.12 \quad (\text{not an option})
\]

3. **Top = 45**:
\[
25y = 12 \cdot 45 \implies 25y = 540 \implies y = \frac{540}{25} = 21.6 \quad (\text{not an option})
\]

4. **Top = 66**:
\[
25y = 12 \cdot 66 \implies 25y = 792 \implies y = \frac{792}{25} = 31.68 \quad (\text{not an option})
\]

From these evaluations, the only combination that holds true is:

- **Top = 75**
- **Bottom = 36**

Thus, a proportional ratio to \( \frac{25}{12} \) using the given options is \( \frac{75}{36} \).