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Finding the Fourth Proportional to 51.50, 77.24 and 37.82

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Solution

The fourth proportional to 51.50, 77.24 and 37.82 is: 56.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 77.24 = 37.82 : x
  2. Step 2: Convert to fraction form
    51.50/77.24 = 37.82/x
  3. Step 3: Cross multiply
    51.50x = 77.24 × 37.82
  4. Step 4: Simplify right side
    51.50x = 2,921.50
  5. Step 5: Solve for x
    x = 2,921.50/51.50
  6. Step 6: Final answer
    x = 56.73

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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.