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Finding the Fourth Proportional to 83.31, 125.01 and 83.06

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Solution

The fourth proportional to 83.31, 125.01 and 83.06 is: 124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.31 : 125.01 = 83.06 : x
  2. Step 2: Convert to fraction form
    83.31/125.01 = 83.06/x
  3. Step 3: Cross multiply
    83.31x = 125.01 × 83.06
  4. Step 4: Simplify right side
    83.31x = 10,382.71
  5. Step 5: Solve for x
    x = 10,382.71/83.31
  6. Step 6: Final answer
    x = 124.63

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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.