[tex] \frac{9}{16} : \frac{75}{100} = \frac{1}{2} + \frac{x}{4} [/tex]
[tex] \frac{9}{16} * \frac{100}{75} = \frac{2+x}{4} [/tex]
[tex] \frac{900}{1200} = \frac{2+x}{4} [/tex]
[tex] \frac{9}{12} = \frac{2+x}{4} [/tex]
[tex]12(2+x)=9*4 [/tex]
[tex]24+12x=36 [/tex]
[tex]12x=36-24[/tex]
[tex]x= \frac{12}{12} =1[/tex]
