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Finding the Fourth Proportional to 67.66, 101.11 and 65.35

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Solution

The fourth proportional to 67.66, 101.11 and 65.35 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.66 : 101.11 = 65.35 : x
  2. Step 2: Convert to fraction form
    67.66/101.11 = 65.35/x
  3. Step 3: Cross multiply
    67.66x = 101.11 × 65.35
  4. Step 4: Simplify right side
    67.66x = 6,607.65
  5. Step 5: Solve for x
    x = 6,607.65/67.66
  6. Step 6: Final answer
    x = 97.66

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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.