Finding the Fourth Proportional to 109.37, 164.06 and 106.67

Step by Step Solution

1. Step 1: Write the proportion equation
   109.37 : 164.06 = 106.67 : x
2. Step 2: Convert to fraction form
   109.37/164.06 = 106.67/x
3. Step 3: Cross multiply
   109.37x = 164.06 × 106.67
4. Step 4: Simplify right side
   109.37x = 17,498.93
5. Step 5: Solve for x
   x = 17,498.93/109.37
6. Step 6: Final answer
   x = 160.00