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Finding the Fourth Proportional to 146.57, 219.84 and 82.58

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Solution

The fourth proportional to 146.57, 219.84 and 82.58 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 219.84 = 82.58 : x
  2. Step 2: Convert to fraction form
    146.57/219.84 = 82.58/x
  3. Step 3: Cross multiply
    146.57x = 219.84 × 82.58
  4. Step 4: Simplify right side
    146.57x = 18,153.29
  5. Step 5: Solve for x
    x = 18,153.29/146.57
  6. Step 6: Final answer
    x = 123.86

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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.