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Finding the Fourth Proportional to 67.64, 101.18 and 67.12

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Solution

The fourth proportional to 67.64, 101.18 and 67.12 is: 100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 101.18 = 67.12 : x
  2. Step 2: Convert to fraction form
    67.64/101.18 = 67.12/x
  3. Step 3: Cross multiply
    67.64x = 101.18 × 67.12
  4. Step 4: Simplify right side
    67.64x = 6,791.20
  5. Step 5: Solve for x
    x = 6,791.20/67.64
  6. Step 6: Final answer
    x = 100.40

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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.