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Finding the Fourth Proportional to 75.49, 112.68 and 66.85

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Solution

The fourth proportional to 75.49, 112.68 and 66.85 is: 99.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.49 : 112.68 = 66.85 : x
  2. Step 2: Convert to fraction form
    75.49/112.68 = 66.85/x
  3. Step 3: Cross multiply
    75.49x = 112.68 × 66.85
  4. Step 4: Simplify right side
    75.49x = 7,532.66
  5. Step 5: Solve for x
    x = 7,532.66/75.49
  6. Step 6: Final answer
    x = 99.78

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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.