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Finding the Fourth Proportional to 135.52, 186.92 and 100.68

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Solution

The fourth proportional to 135.52, 186.92 and 100.68 is: 138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.52 : 186.92 = 100.68 : x
  2. Step 2: Convert to fraction form
    135.52/186.92 = 100.68/x
  3. Step 3: Cross multiply
    135.52x = 186.92 × 100.68
  4. Step 4: Simplify right side
    135.52x = 18,819.11
  5. Step 5: Solve for x
    x = 18,819.11/135.52
  6. Step 6: Final answer
    x = 138.87

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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.