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Finding the Fourth Proportional to 131.14, 196.57 and 49.87

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Solution

The fourth proportional to 131.14, 196.57 and 49.87 is: 74.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 196.57 = 49.87 : x
  2. Step 2: Convert to fraction form
    131.14/196.57 = 49.87/x
  3. Step 3: Cross multiply
    131.14x = 196.57 × 49.87
  4. Step 4: Simplify right side
    131.14x = 9,802.95
  5. Step 5: Solve for x
    x = 9,802.95/131.14
  6. Step 6: Final answer
    x = 74.75

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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.