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Finding the Fourth Proportional to 75.29, 112.41 and 67.52

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Solution

The fourth proportional to 75.29, 112.41 and 67.52 is: 100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.29 : 112.41 = 67.52 : x
  2. Step 2: Convert to fraction form
    75.29/112.41 = 67.52/x
  3. Step 3: Cross multiply
    75.29x = 112.41 × 67.52
  4. Step 4: Simplify right side
    75.29x = 7,590.20
  5. Step 5: Solve for x
    x = 7,590.20/75.29
  6. Step 6: Final answer
    x = 100.82

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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.