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Finding the Fourth Proportional to 51.87, 77.77 and 27.84

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Solution

The fourth proportional to 51.87, 77.77 and 27.84 is: 41.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.87 : 77.77 = 27.84 : x
  2. Step 2: Convert to fraction form
    51.87/77.77 = 27.84/x
  3. Step 3: Cross multiply
    51.87x = 77.77 × 27.84
  4. Step 4: Simplify right side
    51.87x = 2,165.12
  5. Step 5: Solve for x
    x = 2,165.12/51.87
  6. Step 6: Final answer
    x = 41.74

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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.