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Finding the Fourth Proportional to 146.20, 219.41 and 54.97

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Solution

The fourth proportional to 146.20, 219.41 and 54.97 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.20 : 219.41 = 54.97 : x
  2. Step 2: Convert to fraction form
    146.20/219.41 = 54.97/x
  3. Step 3: Cross multiply
    146.20x = 219.41 × 54.97
  4. Step 4: Simplify right side
    146.20x = 12,060.56
  5. Step 5: Solve for x
    x = 12,060.56/146.20
  6. Step 6: Final answer
    x = 82.49

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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.