determine if the ratio 20 cm : 1m and 35 litre: 175 litre form a proportion
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determine if the ratio 20 cm : 1m and 35 litre: 175 litre form a proportion
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The ratios are in proportion.
Given:
the ratio 20 cm : 1m and 35 litre: 175 litre
To find:
If the ratios are in proportion
Solution:
The first ratio is 20cm:1m
Since the units are not same, we will make the units same because for ratio units must be same
So, 1m = 100cm
The units are cancelled out in ratio if same.
Now, the ratio is 20:100 = 1:5
The second ratio is 35 litre : 175 litre
Since, the units are same, ratio will be 35: 175 = 5:25 = 1:5
So, both ratios in proportion will be written as
1:5::1:5
To check if they are in proportion,
Product of means = product of extremes { Means are inner two number and extremes are outside two numbers}
5*1 = 1*5
5 = 5
Hence, the ratios are in proportion.
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