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Finding the Fourth Proportional to 118.30, 177.46 and 49.82

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Solution

The fourth proportional to 118.30, 177.46 and 49.82 is: 74.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.30 : 177.46 = 49.82 : x
  2. Step 2: Convert to fraction form
    118.30/177.46 = 49.82/x
  3. Step 3: Cross multiply
    118.30x = 177.46 × 49.82
  4. Step 4: Simplify right side
    118.30x = 8,841.06
  5. Step 5: Solve for x
    x = 8,841.06/118.30
  6. Step 6: Final answer
    x = 74.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.