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Finding the Fourth Proportional to 123.99, 171.07 and 82.52

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Solution

The fourth proportional to 123.99, 171.07 and 82.52 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.99 : 171.07 = 82.52 : x
  2. Step 2: Convert to fraction form
    123.99/171.07 = 82.52/x
  3. Step 3: Cross multiply
    123.99x = 171.07 × 82.52
  4. Step 4: Simplify right side
    123.99x = 14,116.70
  5. Step 5: Solve for x
    x = 14,116.70/123.99
  6. Step 6: Final answer
    x = 113.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.