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Finding the Fourth Proportional to 51.87, 77.25 and 50.65

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Solution

The fourth proportional to 51.87, 77.25 and 50.65 is: 75.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.87 : 77.25 = 50.65 : x
  2. Step 2: Convert to fraction form
    51.87/77.25 = 50.65/x
  3. Step 3: Cross multiply
    51.87x = 77.25 × 50.65
  4. Step 4: Simplify right side
    51.87x = 3,912.71
  5. Step 5: Solve for x
    x = 3,912.71/51.87
  6. Step 6: Final answer
    x = 75.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.