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Finding the Fourth Proportional to 83.06, 124.38 and 60.14

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Solution

The fourth proportional to 83.06, 124.38 and 60.14 is: 90.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 124.38 = 60.14 : x
  2. Step 2: Convert to fraction form
    83.06/124.38 = 60.14/x
  3. Step 3: Cross multiply
    83.06x = 124.38 × 60.14
  4. Step 4: Simplify right side
    83.06x = 7,480.21
  5. Step 5: Solve for x
    x = 7,480.21/83.06
  6. Step 6: Final answer
    x = 90.06

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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.