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Finding the Fourth Proportional to 101.34, 139.73 and 76.73

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Solution

The fourth proportional to 101.34, 139.73 and 76.73 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.34 : 139.73 = 76.73 : x
  2. Step 2: Convert to fraction form
    101.34/139.73 = 76.73/x
  3. Step 3: Cross multiply
    101.34x = 139.73 × 76.73
  4. Step 4: Simplify right side
    101.34x = 10,721.48
  5. Step 5: Solve for x
    x = 10,721.48/101.34
  6. Step 6: Final answer
    x = 105.80

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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.