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Finding the Fourth Proportional to 123.96, 171.07 and 82.51

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Solution

The fourth proportional to 123.96, 171.07 and 82.51 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.96 : 171.07 = 82.51 : x
  2. Step 2: Convert to fraction form
    123.96/171.07 = 82.51/x
  3. Step 3: Cross multiply
    123.96x = 171.07 × 82.51
  4. Step 4: Simplify right side
    123.96x = 14,114.99
  5. Step 5: Solve for x
    x = 14,114.99/123.96
  6. Step 6: Final answer
    x = 113.87

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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.