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Finding the Fourth Proportional to 83.34, 124.06 and 82.18

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Solution

The fourth proportional to 83.34, 124.06 and 82.18 is: 122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.34 : 124.06 = 82.18 : x
  2. Step 2: Convert to fraction form
    83.34/124.06 = 82.18/x
  3. Step 3: Cross multiply
    83.34x = 124.06 × 82.18
  4. Step 4: Simplify right side
    83.34x = 10,195.25
  5. Step 5: Solve for x
    x = 10,195.25/83.34
  6. Step 6: Final answer
    x = 122.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.