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Finding the Fourth Proportional to 146.52, 219.82 and 55.26

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Solution

The fourth proportional to 146.52, 219.82 and 55.26 is: 82.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 219.82 = 55.26 : x
  2. Step 2: Convert to fraction form
    146.52/219.82 = 55.26/x
  3. Step 3: Cross multiply
    146.52x = 219.82 × 55.26
  4. Step 4: Simplify right side
    146.52x = 12,147.25
  5. Step 5: Solve for x
    x = 12,147.25/146.52
  6. Step 6: Final answer
    x = 82.91

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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.