Find the missing length indicated. Pls show your work

[tex]\\ \sf\longmapsto \dfrac{8}{3}=\dfrac{16}{3x-9}[/tex]
[tex]\\ \sf\longmapsto 8(3x-9)=48[/tex]
[tex]\\ \sf\longmapsto 24x-72=48[/tex]
[tex]\\ \sf\longmapsto 24x=48+72=120[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{120}{24}[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]