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Finding the Fourth Proportional to 118.88, 178.02 and 106.73

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Solution

The fourth proportional to 118.88, 178.02 and 106.73 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.88 : 178.02 = 106.73 : x
  2. Step 2: Convert to fraction form
    118.88/178.02 = 106.73/x
  3. Step 3: Cross multiply
    118.88x = 178.02 × 106.73
  4. Step 4: Simplify right side
    118.88x = 18,999.18
  5. Step 5: Solve for x
    x = 18,999.18/118.88
  6. Step 6: Final answer
    x = 159.82

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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.