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Finding the Fourth Proportional to 118.85, 163.86 and 82.02

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Solution

The fourth proportional to 118.85, 163.86 and 82.02 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.85 : 163.86 = 82.02 : x
  2. Step 2: Convert to fraction form
    118.85/163.86 = 82.02/x
  3. Step 3: Cross multiply
    118.85x = 163.86 × 82.02
  4. Step 4: Simplify right side
    118.85x = 13,439.80
  5. Step 5: Solve for x
    x = 13,439.80/118.85
  6. Step 6: Final answer
    x = 113.09

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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.