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Finding the Fourth Proportional to 118.12, 176.86 and 82.12

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Solution

The fourth proportional to 118.12, 176.86 and 82.12 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.12 : 176.86 = 82.12 : x
  2. Step 2: Convert to fraction form
    118.12/176.86 = 82.12/x
  3. Step 3: Cross multiply
    118.12x = 176.86 × 82.12
  4. Step 4: Simplify right side
    118.12x = 14,523.74
  5. Step 5: Solve for x
    x = 14,523.74/118.12
  6. Step 6: Final answer
    x = 122.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.