Step-by-step Solution:

Quick Solution

The best way to solve this puzzle is to translate each statement into a height comparison and then combine them to get the full ranking from tallest to shortest. Let's use the `>` symbol to mean "is taller than".

1. Translate the Clues into a Ranking

• "B is taller than E but shorter than D" gives us the partial order:
  D > B > E
• "A is shorter than C but taller than D" gives us the other partial order:
  C > A > D

2. Combine the Rankings

Now we can combine the two pieces of information using 'D' as the common link to create a single, complete ranking:

C > A > D > B > E

This shows the complete order of the children from tallest to shortest.

3. Find the Fourth Person in Line

If the children stand in a line according to this ranking, the order is:

1. C (Tallest)
2. A
3. D
4. B
5. E (Shortest)

Counting from the tallest, the fourth person in the line is B.

Final Answer: The fourth child in the line would be B.