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Finding the Fourth Proportional to 87.78, 131.75 and 51.74

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Solution

The fourth proportional to 87.78, 131.75 and 51.74 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.78 : 131.75 = 51.74 : x
  2. Step 2: Convert to fraction form
    87.78/131.75 = 51.74/x
  3. Step 3: Cross multiply
    87.78x = 131.75 × 51.74
  4. Step 4: Simplify right side
    87.78x = 6,816.75
  5. Step 5: Solve for x
    x = 6,816.75/87.78
  6. Step 6: Final answer
    x = 77.66

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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.