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Finding the Fourth Proportional to 143.86, 215.16 and 82.84

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Solution

The fourth proportional to 143.86, 215.16 and 82.84 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.86 : 215.16 = 82.84 : x
  2. Step 2: Convert to fraction form
    143.86/215.16 = 82.84/x
  3. Step 3: Cross multiply
    143.86x = 215.16 × 82.84
  4. Step 4: Simplify right side
    143.86x = 17,823.85
  5. Step 5: Solve for x
    x = 17,823.85/143.86
  6. Step 6: Final answer
    x = 123.90

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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.