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Finding the Fourth Proportional to 59.69, 82.28 and 44.13

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Solution

The fourth proportional to 59.69, 82.28 and 44.13 is: 60.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.69 : 82.28 = 44.13 : x
  2. Step 2: Convert to fraction form
    59.69/82.28 = 44.13/x
  3. Step 3: Cross multiply
    59.69x = 82.28 × 44.13
  4. Step 4: Simplify right side
    59.69x = 3,630.97
  5. Step 5: Solve for x
    x = 3,630.97/59.69
  6. Step 6: Final answer
    x = 60.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.