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Finding the Fourth Proportional to 81.74, 112.34 and 66.17

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Solution

The fourth proportional to 81.74, 112.34 and 66.17 is: 90.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.74 : 112.34 = 66.17 : x
  2. Step 2: Convert to fraction form
    81.74/112.34 = 66.17/x
  3. Step 3: Cross multiply
    81.74x = 112.34 × 66.17
  4. Step 4: Simplify right side
    81.74x = 7,432.65
  5. Step 5: Solve for x
    x = 7,432.65/81.74
  6. Step 6: Final answer
    x = 90.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.