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Find which of the are in proportion : ...

Find which of the are in proportion :
`18,9,10,5`

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The correct Answer is:
To determine if the numbers 18, 9, 10, and 5 are in proportion, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the pairs to compare**: We will compare the first pair (18 and 9) with the second pair (10 and 5). 2. **Calculate the ratio of the first pair**: \[ \text{Ratio of } 18 \text{ and } 9 = \frac{9}{18} \] Simplifying this gives: \[ \frac{9}{18} = \frac{1}{2} \] 3. **Calculate the ratio of the second pair**: \[ \text{Ratio of } 10 \text{ and } 5 = \frac{5}{10} \] Simplifying this gives: \[ \frac{5}{10} = \frac{1}{2} \] 4. **Compare the two ratios**: We found that: \[ \frac{9}{18} = \frac{1}{2} \quad \text{and} \quad \frac{5}{10} = \frac{1}{2} \] Since both ratios are equal, we can conclude that the numbers are in proportion. 5. **Final conclusion**: Therefore, we can state that the numbers 18, 9, 10, and 5 are in proportion. ### Final Answer: The numbers 18, 9, 10, and 5 are in proportion. ---
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