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Finding the Fourth Proportional to 146.24, 219.24 and 54.92

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Solution

The fourth proportional to 146.24, 219.24 and 54.92 is: 82.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.24 : 219.24 = 54.92 : x
  2. Step 2: Convert to fraction form
    146.24/219.24 = 54.92/x
  3. Step 3: Cross multiply
    146.24x = 219.24 × 54.92
  4. Step 4: Simplify right side
    146.24x = 12,040.66
  5. Step 5: Solve for x
    x = 12,040.66/146.24
  6. Step 6: Final answer
    x = 82.33

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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.