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Finding the Fourth Proportional to 73.52, 109.75 and 67.85

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Solution

The fourth proportional to 73.52, 109.75 and 67.85 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.52 : 109.75 = 67.85 : x
  2. Step 2: Convert to fraction form
    73.52/109.75 = 67.85/x
  3. Step 3: Cross multiply
    73.52x = 109.75 × 67.85
  4. Step 4: Simplify right side
    73.52x = 7,446.20
  5. Step 5: Solve for x
    x = 7,446.20/73.52
  6. Step 6: Final answer
    x = 101.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.