Finding the Fourth Proportional to 105.37, 145.46 and 72.23

Step by Step Solution

1. Step 1: Write the proportion equation
   105.37 : 145.46 = 72.23 : x
2. Step 2: Convert to fraction form
   105.37/145.46 = 72.23/x
3. Step 3: Cross multiply
   105.37x = 145.46 × 72.23
4. Step 4: Simplify right side
   105.37x = 10,506.03
5. Step 5: Solve for x
   x = 10,506.03/105.37
6. Step 6: Final answer
   x = 99.71