please help I dont understand Scale factor

[tex]\\ \sf\longmapsto \dfrac{x}{45}=\dfrac{18}{27}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{45}=\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{3}[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]