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Finding the Fourth Proportional to 131.92, 198.16 and 114.61

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Solution

The fourth proportional to 131.92, 198.16 and 114.61 is: 172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.92 : 198.16 = 114.61 : x
  2. Step 2: Convert to fraction form
    131.92/198.16 = 114.61/x
  3. Step 3: Cross multiply
    131.92x = 198.16 × 114.61
  4. Step 4: Simplify right side
    131.92x = 22,711.12
  5. Step 5: Solve for x
    x = 22,711.12/131.92
  6. Step 6: Final answer
    x = 172.16

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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.