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Finding the Fourth Proportional to 106.89, 160.02 and 81.32

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Solution

The fourth proportional to 106.89, 160.02 and 81.32 is: 121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 160.02 = 81.32 : x
  2. Step 2: Convert to fraction form
    106.89/160.02 = 81.32/x
  3. Step 3: Cross multiply
    106.89x = 160.02 × 81.32
  4. Step 4: Simplify right side
    106.89x = 13,012.03
  5. Step 5: Solve for x
    x = 13,012.03/106.89
  6. Step 6: Final answer
    x = 121.73

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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.