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Finding the Fourth Proportional to 91.65, 137.54 and 67.66

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Solution

The fourth proportional to 91.65, 137.54 and 67.66 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.65 : 137.54 = 67.66 : x
  2. Step 2: Convert to fraction form
    91.65/137.54 = 67.66/x
  3. Step 3: Cross multiply
    91.65x = 137.54 × 67.66
  4. Step 4: Simplify right side
    91.65x = 9,305.96
  5. Step 5: Solve for x
    x = 9,305.96/91.65
  6. Step 6: Final answer
    x = 101.54

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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.