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Finding the Fourth Proportional to 115.13, 158.83 and 82.42

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Solution

The fourth proportional to 115.13, 158.83 and 82.42 is: 113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 158.83 = 82.42 : x
  2. Step 2: Convert to fraction form
    115.13/158.83 = 82.42/x
  3. Step 3: Cross multiply
    115.13x = 158.83 × 82.42
  4. Step 4: Simplify right side
    115.13x = 13,091.06
  5. Step 5: Solve for x
    x = 13,091.06/115.13
  6. Step 6: Final answer
    x = 113.71

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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.