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Finding the Fourth Proportional to 115.23, 158.67 and 82.42

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Solution

The fourth proportional to 115.23, 158.67 and 82.42 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.23 : 158.67 = 82.42 : x
  2. Step 2: Convert to fraction form
    115.23/158.67 = 82.42/x
  3. Step 3: Cross multiply
    115.23x = 158.67 × 82.42
  4. Step 4: Simplify right side
    115.23x = 13,077.17
  5. Step 5: Solve for x
    x = 13,077.17/115.23
  6. Step 6: Final answer
    x = 113.49

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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.