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Finding the Fourth Proportional to 115.35, 159.14 and 82.55

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Solution

The fourth proportional to 115.35, 159.14 and 82.55 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.35 : 159.14 = 82.55 : x
  2. Step 2: Convert to fraction form
    115.35/159.14 = 82.55/x
  3. Step 3: Cross multiply
    115.35x = 159.14 × 82.55
  4. Step 4: Simplify right side
    115.35x = 13,136.42
  5. Step 5: Solve for x
    x = 13,136.42/115.35
  6. Step 6: Final answer
    x = 113.88

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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.