Math, asked by mohdaflahpk, 3 months ago

determine if the ratio 20 cm : 1m and 35 litre: 175 litre form a proportion

Answers

Answered by sahuhinjilicut
1

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determine if the ratio 20 cm : 1m and 35 litre: 175 litre form a proportion

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Answered by AadilPradhan
1

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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