Solve the proportion for X \frac {20}{16} × (5)/(X) what is x

Question

Solve the proportion for X

`\frac {20}{16} × (5)/(X) what is x`

Answer 1

x = 4

Explanation:

If we assume you mean ...

`(20)/(16)=(5)/(x)`

we can find the value of x by multiplying both sides of the equation by 4x/5. This gives ...

`(20\cdot 4x)/(16\cdot 5)=(5\cdot 4x)/(x\cdot 5)`

`x=4 \qquad\text{cancel common factors}`

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If you simplify the fraction in the original proportion, you see it is ...

`(5)/(4)=(5)/(x)`

and it is obvious that x=4.