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Finding the Fourth Proportional to 87.65, 131.35 and 51.59

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Solution

The fourth proportional to 87.65, 131.35 and 51.59 is: 77.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.65 : 131.35 = 51.59 : x
  2. Step 2: Convert to fraction form
    87.65/131.35 = 51.59/x
  3. Step 3: Cross multiply
    87.65x = 131.35 × 51.59
  4. Step 4: Simplify right side
    87.65x = 6,775.56
  5. Step 5: Solve for x
    x = 6,775.56/87.65
  6. Step 6: Final answer
    x = 77.31

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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.