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Finding the Fourth Proportional to 82.57, 124.41 and 68.44

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Solution

The fourth proportional to 82.57, 124.41 and 68.44 is: 103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 124.41 = 68.44 : x
  2. Step 2: Convert to fraction form
    82.57/124.41 = 68.44/x
  3. Step 3: Cross multiply
    82.57x = 124.41 × 68.44
  4. Step 4: Simplify right side
    82.57x = 8,514.62
  5. Step 5: Solve for x
    x = 8,514.62/82.57
  6. Step 6: Final answer
    x = 103.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.