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Finding the Fourth Proportional to 77.61, 107.11 and 44.86

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Solution

The fourth proportional to 77.61, 107.11 and 44.86 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.61 : 107.11 = 44.86 : x
  2. Step 2: Convert to fraction form
    77.61/107.11 = 44.86/x
  3. Step 3: Cross multiply
    77.61x = 107.11 × 44.86
  4. Step 4: Simplify right side
    77.61x = 4,805.33
  5. Step 5: Solve for x
    x = 4,805.33/77.61
  6. Step 6: Final answer
    x = 61.91

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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.