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Finding the Fourth Proportional to 101.73, 140.22 and 66.74

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Solution

The fourth proportional to 101.73, 140.22 and 66.74 is: 91.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.73 : 140.22 = 66.74 : x
  2. Step 2: Convert to fraction form
    101.73/140.22 = 66.74/x
  3. Step 3: Cross multiply
    101.73x = 140.22 × 66.74
  4. Step 4: Simplify right side
    101.73x = 9,358.28
  5. Step 5: Solve for x
    x = 9,358.28/101.73
  6. Step 6: Final answer
    x = 91.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.