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Finding the Fourth Proportional to 146.12, 219.20 and 54.81

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Solution

The fourth proportional to 146.12, 219.20 and 54.81 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.12 : 219.20 = 54.81 : x
  2. Step 2: Convert to fraction form
    146.12/219.20 = 54.81/x
  3. Step 3: Cross multiply
    146.12x = 219.20 × 54.81
  4. Step 4: Simplify right side
    146.12x = 12,015.31
  5. Step 5: Solve for x
    x = 12,015.31/146.12
  6. Step 6: Final answer
    x = 82.23

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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.