If is is of r, q is of r, q is of of and and is is of s . The ratio of p: q: s in lowest terms is ____.

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Detailed Solution

Concept- The ratio of p: q: s in lowest terms would be 16: 12: 5. The idea of ratio will be used here. First, we shall calculate the value of p,q,s in common terms, i.e. r. Then we'll convert their value to a ratio. Then we'll reduce it to its simplest form by removing the common elements from the ratio equation.
Given that

. Therefore, we get

Given that

. Therefore, we get

Given that

. Therefore, we get

We shall now simplify the preceding equation to find the value of s. As a result, we receive

We will now calculate the value of the ratio p: q: s by plugging the values of p, q, s into it. As a result, we receive

We will now remove all of the ratio's common elements. Therefore, we get

Now, divide it by 4 because all nos. are the multiple of 4.
So, we get

Hence, the ratio of p: q: s in lowest terms is 16: 12: 5 .

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