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Finding the Fourth Proportional to 143.73, 215.49 and 82.83

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Solution

The fourth proportional to 143.73, 215.49 and 82.83 is: 124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.73 : 215.49 = 82.83 : x
  2. Step 2: Convert to fraction form
    143.73/215.49 = 82.83/x
  3. Step 3: Cross multiply
    143.73x = 215.49 × 82.83
  4. Step 4: Simplify right side
    143.73x = 17,849.04
  5. Step 5: Solve for x
    x = 17,849.04/143.73
  6. Step 6: Final answer
    x = 124.18

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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.