Question

96/s=36/21 solve for s in the proportion

Answer 1

Given the following proportion:

`(96)/(s)=(36)/(21)`

You can follow the steps shown below in order to solve for "s" and find its value:

1. You can apply the Multiplication property of equality by multiplying both sides of the equation by "s":

`\begin{gathered} (s)((96)/(s))=((36)/(21))(s) \\ \\ 96=(36)/(21)s \end{gathered}`

2. Apply the Multiplication property of equality again by multiplying both sides of the equation by 21:

`\begin{gathered} (21)(96)=((36)/(21)s)(21) \\ \\ 2016=36s \end{gathered}`

3. Finally, you must apply the Division property of equality by dividing both sides of the equation by 36:

`\begin{gathered} (2016)/(36)=(36)/(s) \\ \\ s=56 \end{gathered}`

The answer is:

`s=56`