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Finding the Fourth Proportional to 87.77, 120.31 and 84.69

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Solution

The fourth proportional to 87.77, 120.31 and 84.69 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.77 : 120.31 = 84.69 : x
  2. Step 2: Convert to fraction form
    87.77/120.31 = 84.69/x
  3. Step 3: Cross multiply
    87.77x = 120.31 × 84.69
  4. Step 4: Simplify right side
    87.77x = 10,188.84
  5. Step 5: Solve for x
    x = 10,188.84/87.77
  6. Step 6: Final answer
    x = 116.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.