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Finding the Fourth Proportional to 106.88, 160.40 and 81.24

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Solution

The fourth proportional to 106.88, 160.40 and 81.24 is: 121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 160.40 = 81.24 : x
  2. Step 2: Convert to fraction form
    106.88/160.40 = 81.24/x
  3. Step 3: Cross multiply
    106.88x = 160.40 × 81.24
  4. Step 4: Simplify right side
    106.88x = 13,030.90
  5. Step 5: Solve for x
    x = 13,030.90/106.88
  6. Step 6: Final answer
    x = 121.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.