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Finding the Fourth Proportional to 87.75, 121.14 and 82.35

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Solution

The fourth proportional to 87.75, 121.14 and 82.35 is: 113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.75 : 121.14 = 82.35 : x
  2. Step 2: Convert to fraction form
    87.75/121.14 = 82.35/x
  3. Step 3: Cross multiply
    87.75x = 121.14 × 82.35
  4. Step 4: Simplify right side
    87.75x = 9,975.88
  5. Step 5: Solve for x
    x = 9,975.88/87.75
  6. Step 6: Final answer
    x = 113.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.