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Finding the Fourth Proportional to 61.12, 83.81 and 58.96

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Solution

The fourth proportional to 61.12, 83.81 and 58.96 is: 80.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.12 : 83.81 = 58.96 : x
  2. Step 2: Convert to fraction form
    61.12/83.81 = 58.96/x
  3. Step 3: Cross multiply
    61.12x = 83.81 × 58.96
  4. Step 4: Simplify right side
    61.12x = 4,941.44
  5. Step 5: Solve for x
    x = 4,941.44/61.12
  6. Step 6: Final answer
    x = 80.85

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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.