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Finding the Fourth Proportional to 132.92, 182.98 and 100.12

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Solution

The fourth proportional to 132.92, 182.98 and 100.12 is: 137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.92 : 182.98 = 100.12 : x
  2. Step 2: Convert to fraction form
    132.92/182.98 = 100.12/x
  3. Step 3: Cross multiply
    132.92x = 182.98 × 100.12
  4. Step 4: Simplify right side
    132.92x = 18,319.96
  5. Step 5: Solve for x
    x = 18,319.96/132.92
  6. Step 6: Final answer
    x = 137.83

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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.