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Finding the Fourth Proportional to 102.48, 142 and 100.24

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Solution

The fourth proportional to 102.48, 142 and 100.24 is: 138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 142 = 100.24 : x
  2. Step 2: Convert to fraction form
    102.48/142 = 100.24/x
  3. Step 3: Cross multiply
    102.48x = 142 × 100.24
  4. Step 4: Simplify right side
    102.48x = 14,234.08
  5. Step 5: Solve for x
    x = 14,234.08/102.48
  6. Step 6: Final answer
    x = 138.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.