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Finding the Fourth Proportional to 118.43, 177.65 and 46.29

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Solution

The fourth proportional to 118.43, 177.65 and 46.29 is: 69.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.43 : 177.65 = 46.29 : x
  2. Step 2: Convert to fraction form
    118.43/177.65 = 46.29/x
  3. Step 3: Cross multiply
    118.43x = 177.65 × 46.29
  4. Step 4: Simplify right side
    118.43x = 8,223.42
  5. Step 5: Solve for x
    x = 8,223.42/118.43
  6. Step 6: Final answer
    x = 69.44

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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.