find the value of P from the following proportions (1) P:8::27: 72 do in step
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find the value of P from the following proportions (1) P:8::27: 72 do in step
find the value of P from the following proportions (1) P:8::27: 72 do in step
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Answer:
Sure, to find the value of \(P\) in the proportion \(P:8::27:72\), we'll set up a proportion equation where the ratios of the two sides are equal:
\(\frac{P}{8} = \frac{27}{72}\)
First, simplify the ratio \(\frac{27}{72}\) by dividing both numbers by their greatest common divisor, which is 9:
\(\frac{27}{72} = \frac{27 \div 9}{72 \div 9} = \frac{3}{8}\)
Now, substitute \(\frac{3}{8}\) back into the equation:
\(\frac{P}{8} = \frac{3}{8}\)
To solve for \(P\), multiply both sides of the equation by 8:
\(P = 3 \times 8\)
\(P = 24\)
Therefore, the value of \(P\) in the proportion \(P:8::27:72\) is 24.