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Finding the Fourth Proportional to 118.24, 177.41 and 46.11

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Solution

The fourth proportional to 118.24, 177.41 and 46.11 is: 69.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.24 : 177.41 = 46.11 : x
  2. Step 2: Convert to fraction form
    118.24/177.41 = 46.11/x
  3. Step 3: Cross multiply
    118.24x = 177.41 × 46.11
  4. Step 4: Simplify right side
    118.24x = 8,180.38
  5. Step 5: Solve for x
    x = 8,180.38/118.24
  6. Step 6: Final answer
    x = 69.18

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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.