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Finding the Fourth Proportional to 118.76, 178.12 and 33.24

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Solution

The fourth proportional to 118.76, 178.12 and 33.24 is: 49.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.76 : 178.12 = 33.24 : x
  2. Step 2: Convert to fraction form
    118.76/178.12 = 33.24/x
  3. Step 3: Cross multiply
    118.76x = 178.12 × 33.24
  4. Step 4: Simplify right side
    118.76x = 5,920.71
  5. Step 5: Solve for x
    x = 5,920.71/118.76
  6. Step 6: Final answer
    x = 49.85

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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.