Arrange the heights in ascending order. Calculate the shaded area in the diagram, correct to two decimal places, if the height of the triangle is h = 4 cm.

Step 1: Identify all the given heights and arrange them from smallest to largest (ascending order).
The heights are: $141, 161, 142, 163, 169, 132, 170, 132, 156, 162, 172, 155$.

Arranging them in ascending order:

$$132, 132, 141, 142, 155, 156, 161, 162, 163, 169, 170, 172$$

The heights in ascending order are:
$\boxed{\text{132 cm, 132 cm, 141 cm, 142 cm, 155 cm, 156 cm, 161 cm, 162 cm, 163 cm, 169 cm, 170 cm, 172 cm}}$