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Finding the Fourth Proportional to 103.52, 142.90 and 100.10

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Solution

The fourth proportional to 103.52, 142.90 and 100.10 is: 138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 142.90 = 100.10 : x
  2. Step 2: Convert to fraction form
    103.52/142.90 = 100.10/x
  3. Step 3: Cross multiply
    103.52x = 142.90 × 100.10
  4. Step 4: Simplify right side
    103.52x = 14,304.29
  5. Step 5: Solve for x
    x = 14,304.29/103.52
  6. Step 6: Final answer
    x = 138.18

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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.