State the following ratios are in proportion or not: $12 c m : 15 c m a n d 16 k m : 20 k m$

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Solution

Step 1: Find the simplest form of the ratios
$12 c m : 15 c m = \frac{12}{15} = \frac{12 \div 3}{15 \div 3} = \frac{4}{5} = 4 : 5$
$16 k m : 20 k m = \frac{16}{20} = \frac{16 \div 4}{20 \div 4} = \frac{4}{5} = 4 : 5$
Step 2: Check the ratios are equal or not
Ratios $12 c m : 15 c m a n d 16 k m : 20 k m$ are equal.
Hence, $12 c m : 15 c m a n d 16 k m : 20 k m$ are in proportion.

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