Question

Which two ratios form a proportion?(1 point)
Responses

204
and 15
20 fourths and 1 fifth

420
and 25
4 over 20 and 2 fifths

420
and 15
4 over 20 and 1 fifth

204
and 25

Answer 1

To determine which pairs of ratios form a proportion, we can check whether the cross products are equal. A proportion occurs when two ratios are equal:

1. **204 and 15**
2. **20 fourths (20/4 = 5) and 1 fifth (1/5)**
- Cross products: \( 20 \times 1 = 20 \) and \( 4 \times 5 = 20 \) ⇒ **Equal**

3. **420 and 25**
4. **4 over 20 (4/20 = 1/5) and 2 fifths (2/5)**
- Cross products: \( 4 \times 2 = 8 \) and \( 20 \times 5 = 100 \) ⇒ **Not equal**

5. **420 and 15**
6. **4 over 20 (4/20 = 1/5) and 1 fifth (1/5)**
- Cross products: \( 4 \times 1 = 4 \) and \( 20 \times 5 = 100 \) ⇒ **Not equal**

7. **204 and 25**

After checking these pairs, the only correct option is **20 fourths and 1 fifth** since they are proportional.