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Finding the Fourth Proportional to 102.76, 140.98 and 100.17

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Solution

The fourth proportional to 102.76, 140.98 and 100.17 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.76 : 140.98 = 100.17 : x
  2. Step 2: Convert to fraction form
    102.76/140.98 = 100.17/x
  3. Step 3: Cross multiply
    102.76x = 140.98 × 100.17
  4. Step 4: Simplify right side
    102.76x = 14,121.97
  5. Step 5: Solve for x
    x = 14,121.97/102.76
  6. Step 6: Final answer
    x = 137.43

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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.