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Finding the Fourth Proportional to 118, 177.07 and 53.88

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Solution

The fourth proportional to 118, 177.07 and 53.88 is: 80.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 177.07 = 53.88 : x
  2. Step 2: Convert to fraction form
    118/177.07 = 53.88/x
  3. Step 3: Cross multiply
    118x = 177.07 × 53.88
  4. Step 4: Simplify right side
    118x = 9,540.53
  5. Step 5: Solve for x
    x = 9,540.53/118
  6. Step 6: Final answer
    x = 80.85

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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.