Which one of these sets of measurements makes DE parallel to BC, where the point D lies on AB and the point E lies on AC of triangle ABC?

The converse of BPT needs $\frac{AD}{DB}=\frac{AE}{EC}$. For the correct set, $\frac{4.2}{5.6}=0.75$ and $\frac{3.6}{4.8}=0.75$, so $DE$ is parallel to $BC$. In the first set the first ratio is $\frac{5.6}{4.2}$ ≈ 1.33 while the second is 0.75; in the second set the second pair has been swapped, giving 0.75 against 1.33; in the third set the ratios are about 1.17 and 1.04. Only equal ratios — not merely "the same four numbers" — give a parallel line.