KöMaL 2015 C1276

$X$ , $Y$ , $Z$ , $V$ are interior points of sides $AB$ , $BC$ , $CD$ , $DA$ of a parallelogram $ABCD$ , respectively, such that $\frac{AX}{XB} =\frac{BY}{YC} =\frac{CZ}{ZD} =\frac{DV}{VA}=k$ , where $k$ is a positive constant less than $\frac 12$. Find the value of $k$ , given that the area of quadrilateral $XYZV$ is 68% of the area of parallelogram $ABCD$ .