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Finding the Fourth Proportional to 51.92, 77.82 and 24.85

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Solution

The fourth proportional to 51.92, 77.82 and 24.85 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.92 : 77.82 = 24.85 : x
  2. Step 2: Convert to fraction form
    51.92/77.82 = 24.85/x
  3. Step 3: Cross multiply
    51.92x = 77.82 × 24.85
  4. Step 4: Simplify right side
    51.92x = 1,933.84
  5. Step 5: Solve for x
    x = 1,933.84/51.92
  6. Step 6: Final answer
    x = 37.25

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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.