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Finding the Fourth Proportional to 61.22, 84.50 and 41.85

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Solution

The fourth proportional to 61.22, 84.50 and 41.85 is: 57.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.22 : 84.50 = 41.85 : x
  2. Step 2: Convert to fraction form
    61.22/84.50 = 41.85/x
  3. Step 3: Cross multiply
    61.22x = 84.50 × 41.85
  4. Step 4: Simplify right side
    61.22x = 3,536.33
  5. Step 5: Solve for x
    x = 3,536.33/61.22
  6. Step 6: Final answer
    x = 57.76

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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.