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Finding the Fourth Proportional to 131.52, 196.92 and 113.16

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Solution

The fourth proportional to 131.52, 196.92 and 113.16 is: 169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 196.92 = 113.16 : x
  2. Step 2: Convert to fraction form
    131.52/196.92 = 113.16/x
  3. Step 3: Cross multiply
    131.52x = 196.92 × 113.16
  4. Step 4: Simplify right side
    131.52x = 22,283.47
  5. Step 5: Solve for x
    x = 22,283.47/131.52
  6. Step 6: Final answer
    x = 169.43

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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.