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Finding the Fourth Proportional to 102.53, 140.57 and 100.71

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Solution

The fourth proportional to 102.53, 140.57 and 100.71 is: 138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 140.57 = 100.71 : x
  2. Step 2: Convert to fraction form
    102.53/140.57 = 100.71/x
  3. Step 3: Cross multiply
    102.53x = 140.57 × 100.71
  4. Step 4: Simplify right side
    102.53x = 14,156.68
  5. Step 5: Solve for x
    x = 14,156.68/102.53
  6. Step 6: Final answer
    x = 138.07

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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.