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Finding the Fourth Proportional to 83.21, 124.67 and 54.29

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Solution

The fourth proportional to 83.21, 124.67 and 54.29 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 124.67 = 54.29 : x
  2. Step 2: Convert to fraction form
    83.21/124.67 = 54.29/x
  3. Step 3: Cross multiply
    83.21x = 124.67 × 54.29
  4. Step 4: Simplify right side
    83.21x = 6,768.78
  5. Step 5: Solve for x
    x = 6,768.78/83.21
  6. Step 6: Final answer
    x = 81.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.