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Finding the Fourth Proportional to 118.28, 177.31 and 96.66

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Solution

The fourth proportional to 118.28, 177.31 and 96.66 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.28 : 177.31 = 96.66 : x
  2. Step 2: Convert to fraction form
    118.28/177.31 = 96.66/x
  3. Step 3: Cross multiply
    118.28x = 177.31 × 96.66
  4. Step 4: Simplify right side
    118.28x = 17,138.30
  5. Step 5: Solve for x
    x = 17,138.30/118.28
  6. Step 6: Final answer
    x = 144.90

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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.