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Finding the Fourth Proportional to 118.88, 178.41 and 112.49

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Solution

The fourth proportional to 118.88, 178.41 and 112.49 is: 168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.88 : 178.41 = 112.49 : x
  2. Step 2: Convert to fraction form
    118.88/178.41 = 112.49/x
  3. Step 3: Cross multiply
    118.88x = 178.41 × 112.49
  4. Step 4: Simplify right side
    118.88x = 20,069.34
  5. Step 5: Solve for x
    x = 20,069.34/118.88
  6. Step 6: Final answer
    x = 168.82

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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.