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Finding the Fourth Proportional to 124, 171.12 and 82.58

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Solution

The fourth proportional to 124, 171.12 and 82.58 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124 : 171.12 = 82.58 : x
  2. Step 2: Convert to fraction form
    124/171.12 = 82.58/x
  3. Step 3: Cross multiply
    124x = 171.12 × 82.58
  4. Step 4: Simplify right side
    124x = 14,131.09
  5. Step 5: Solve for x
    x = 14,131.09/124
  6. Step 6: Final answer
    x = 113.96

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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.