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Finding the Fourth Proportional to 118.53, 163.43 and 81.71

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Solution

The fourth proportional to 118.53, 163.43 and 81.71 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.53 : 163.43 = 81.71 : x
  2. Step 2: Convert to fraction form
    118.53/163.43 = 81.71/x
  3. Step 3: Cross multiply
    118.53x = 163.43 × 81.71
  4. Step 4: Simplify right side
    118.53x = 13,353.87
  5. Step 5: Solve for x
    x = 13,353.87/118.53
  6. Step 6: Final answer
    x = 112.66

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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.