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Finding the Fourth Proportional to 67.69, 102.01 and 67.15

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Solution

The fourth proportional to 67.69, 102.01 and 67.15 is: 101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 102.01 = 67.15 : x
  2. Step 2: Convert to fraction form
    67.69/102.01 = 67.15/x
  3. Step 3: Cross multiply
    67.69x = 102.01 × 67.15
  4. Step 4: Simplify right side
    67.69x = 6,849.97
  5. Step 5: Solve for x
    x = 6,849.97/67.69
  6. Step 6: Final answer
    x = 101.20

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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.