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Finding the Fourth Proportional to 118.68, 163.80 and 81.89

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Solution

The fourth proportional to 118.68, 163.80 and 81.89 is: 113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.68 : 163.80 = 81.89 : x
  2. Step 2: Convert to fraction form
    118.68/163.80 = 81.89/x
  3. Step 3: Cross multiply
    118.68x = 163.80 × 81.89
  4. Step 4: Simplify right side
    118.68x = 13,412.76
  5. Step 5: Solve for x
    x = 13,412.76/118.68
  6. Step 6: Final answer
    x = 113.02

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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.