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Finding the Fourth Proportional to 132.57, 198.25 and 83.70

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Solution

The fourth proportional to 132.57, 198.25 and 83.70 is: 125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 198.25 = 83.70 : x
  2. Step 2: Convert to fraction form
    132.57/198.25 = 83.70/x
  3. Step 3: Cross multiply
    132.57x = 198.25 × 83.70
  4. Step 4: Simplify right side
    132.57x = 16,593.32
  5. Step 5: Solve for x
    x = 16,593.32/132.57
  6. Step 6: Final answer
    x = 125.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.