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Finding the Fourth Proportional to 51.87, 77.80 and 24.78

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Solution

The fourth proportional to 51.87, 77.80 and 24.78 is: 37.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.87 : 77.80 = 24.78 : x
  2. Step 2: Convert to fraction form
    51.87/77.80 = 24.78/x
  3. Step 3: Cross multiply
    51.87x = 77.80 × 24.78
  4. Step 4: Simplify right side
    51.87x = 1,927.88
  5. Step 5: Solve for x
    x = 1,927.88/51.87
  6. Step 6: Final answer
    x = 37.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.