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Finding the Fourth Proportional to 61.21, 83.97 and 59.61

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Solution

The fourth proportional to 61.21, 83.97 and 59.61 is: 81.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.21 : 83.97 = 59.61 : x
  2. Step 2: Convert to fraction form
    61.21/83.97 = 59.61/x
  3. Step 3: Cross multiply
    61.21x = 83.97 × 59.61
  4. Step 4: Simplify right side
    61.21x = 5,005.45
  5. Step 5: Solve for x
    x = 5,005.45/61.21
  6. Step 6: Final answer
    x = 81.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.