Find the **fourth proportion** to $1.25$, $5.75$, and $3.5$.

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Accepted Answer

**Solution:**

1. The fourth proportion to numbers $a$, $b$, and $c$ is a number $x$ such that:
   $$\frac{a}{b} = \frac{c}{x}$$

2. Given:
   - $a = 1.25$
   - $b = 5.75$
   - $c = 3.5$

3. Using the formula:
   $$x = \frac{b 	imes c}{a}$$

4. Substitute the values:
   $$x = \frac{5.75 	imes 3.5}{1.25}$$

5. Calculate numerator:
   $$5.75 	imes 3.5 = 20.125$$

6. Divide by $1.25$:
   $$x = \frac{20.125}{1.25} = 16.1$$

**Answer:** $16.1$

**Note:** The correct answer is option (b) $16.1$.

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Answer

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