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Finding the Fourth Proportional to 131.24, 196.84 and 39.92

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Solution

The fourth proportional to 131.24, 196.84 and 39.92 is: 59.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.24 : 196.84 = 39.92 : x
  2. Step 2: Convert to fraction form
    131.24/196.84 = 39.92/x
  3. Step 3: Cross multiply
    131.24x = 196.84 × 39.92
  4. Step 4: Simplify right side
    131.24x = 7,857.85
  5. Step 5: Solve for x
    x = 7,857.85/131.24
  6. Step 6: Final answer
    x = 59.87

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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.