$\begin{cases}C_2H_5OH:x mol \\C_nH_{2n+1}COOH:y mol\\C_{n+1}H_{2n+3}COOH:z mol \end{cases}\Rightarrow \begin{cases}\frac{x+y+z}{2}=\frac{11,2}{22,4} \\x=y+z\\\frac{80[y(14n+74)+z(14n+88)]}{100}=43,6 \end{cases}$$\Rightarrow \begin{cases}x=0,5 mol \\ y+z=0,5 mol\\14n(y+z)+74(y+z)+14z=54,5 \end{cases}$
$\Rightarrow 7n+14z=17,5\Rightarrow 17,5<7n<17,5+14.0,5\Rightarrow n=3$
$\Rightarrow \begin{cases}C_3H_7COOH \\C_4H_9COOH \end{cases}$