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Finding the Fourth Proportional to 67.66, 101.52 and 58.11

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Solution

The fourth proportional to 67.66, 101.52 and 58.11 is: 87.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.66 : 101.52 = 58.11 : x
  2. Step 2: Convert to fraction form
    67.66/101.52 = 58.11/x
  3. Step 3: Cross multiply
    67.66x = 101.52 × 58.11
  4. Step 4: Simplify right side
    67.66x = 5,899.33
  5. Step 5: Solve for x
    x = 5,899.33/67.66
  6. Step 6: Final answer
    x = 87.19

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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.