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Finding the Fourth Proportional to 67.61, 100.65 and 65.72

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Solution

The fourth proportional to 67.61, 100.65 and 65.72 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.61 : 100.65 = 65.72 : x
  2. Step 2: Convert to fraction form
    67.61/100.65 = 65.72/x
  3. Step 3: Cross multiply
    67.61x = 100.65 × 65.72
  4. Step 4: Simplify right side
    67.61x = 6,614.21
  5. Step 5: Solve for x
    x = 6,614.21/67.61
  6. Step 6: Final answer
    x = 97.84

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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.