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Finding the Fourth Proportional to 118.47, 163.49 and 81.62

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Solution

The fourth proportional to 118.47, 163.49 and 81.62 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.47 : 163.49 = 81.62 : x
  2. Step 2: Convert to fraction form
    118.47/163.49 = 81.62/x
  3. Step 3: Cross multiply
    118.47x = 163.49 × 81.62
  4. Step 4: Simplify right side
    118.47x = 13,342.83
  5. Step 5: Solve for x
    x = 13,342.83/118.47
  6. Step 6: Final answer
    x = 112.63

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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.