ANSWER:
The value of y is 5.5
STEP-BY-STEP EXPLANATION:
We have the following proportion
[tex]y=k\cdot x\cdot y[/tex]We can calculate the value of k, since we know the values of y, x and z.
Replacing and solving for k:
[tex]\begin{gathered} 5.2=k\cdot65\cdot8 \\ k=\frac{65\cdot8}{5.2} \\ k=0.01 \end{gathered}[/tex]Now, we calculate the value of y, just like that
[tex]\begin{gathered} y=0.01\cdot55\cdot10 \\ y=5.5 \end{gathered}[/tex]