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Finding the Fourth Proportional to 124.11, 171.19 and 82.10

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Solution

The fourth proportional to 124.11, 171.19 and 82.10 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.11 : 171.19 = 82.10 : x
  2. Step 2: Convert to fraction form
    124.11/171.19 = 82.10/x
  3. Step 3: Cross multiply
    124.11x = 171.19 × 82.10
  4. Step 4: Simplify right side
    124.11x = 14,053.95
  5. Step 5: Solve for x
    x = 14,053.95/124.11
  6. Step 6: Final answer
    x = 113.23

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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.