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Finding the Fourth Proportional to 131.11, 196.49 and 54.02

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Solution

The fourth proportional to 131.11, 196.49 and 54.02 is: 80.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.11 : 196.49 = 54.02 : x
  2. Step 2: Convert to fraction form
    131.11/196.49 = 54.02/x
  3. Step 3: Cross multiply
    131.11x = 196.49 × 54.02
  4. Step 4: Simplify right side
    131.11x = 10,614.61
  5. Step 5: Solve for x
    x = 10,614.61/131.11
  6. Step 6: Final answer
    x = 80.96

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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.