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Finding the Fourth Proportional to 124.19, 171.31 and 82.69

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Solution

The fourth proportional to 124.19, 171.31 and 82.69 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.19 : 171.31 = 82.69 : x
  2. Step 2: Convert to fraction form
    124.19/171.31 = 82.69/x
  3. Step 3: Cross multiply
    124.19x = 171.31 × 82.69
  4. Step 4: Simplify right side
    124.19x = 14,164.99
  5. Step 5: Solve for x
    x = 14,164.99/124.19
  6. Step 6: Final answer
    x = 114.06

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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.