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Finding the Fourth Proportional to 143.91, 215.94 and 83.16

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Solution

The fourth proportional to 143.91, 215.94 and 83.16 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.91 : 215.94 = 83.16 : x
  2. Step 2: Convert to fraction form
    143.91/215.94 = 83.16/x
  3. Step 3: Cross multiply
    143.91x = 215.94 × 83.16
  4. Step 4: Simplify right side
    143.91x = 17,957.57
  5. Step 5: Solve for x
    x = 17,957.57/143.91
  6. Step 6: Final answer
    x = 124.78

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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.