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Finding the Fourth Proportional to 118.52, 177.61 and 49.96

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Solution

The fourth proportional to 118.52, 177.61 and 49.96 is: 74.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.52 : 177.61 = 49.96 : x
  2. Step 2: Convert to fraction form
    118.52/177.61 = 49.96/x
  3. Step 3: Cross multiply
    118.52x = 177.61 × 49.96
  4. Step 4: Simplify right side
    118.52x = 8,872.26
  5. Step 5: Solve for x
    x = 8,872.26/118.52
  6. Step 6: Final answer
    x = 74.86

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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.