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Finding the Fourth Proportional to 67, 101.11 and 66.58

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Solution

The fourth proportional to 67, 101.11 and 66.58 is: 100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 101.11 = 66.58 : x
  2. Step 2: Convert to fraction form
    67/101.11 = 66.58/x
  3. Step 3: Cross multiply
    67x = 101.11 × 66.58
  4. Step 4: Simplify right side
    67x = 6,731.90
  5. Step 5: Solve for x
    x = 6,731.90/67
  6. Step 6: Final answer
    x = 100.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.