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Finding the Fourth Proportional to 131.87, 197.71 and 50.78

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Solution

The fourth proportional to 131.87, 197.71 and 50.78 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.87 : 197.71 = 50.78 : x
  2. Step 2: Convert to fraction form
    131.87/197.71 = 50.78/x
  3. Step 3: Cross multiply
    131.87x = 197.71 × 50.78
  4. Step 4: Simplify right side
    131.87x = 10,040.08
  5. Step 5: Solve for x
    x = 10,040.08/131.87
  6. Step 6: Final answer
    x = 76.13

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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.