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Finding the Fourth Proportional to 71.94, 107.89 and 28.61

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Solution

The fourth proportional to 71.94, 107.89 and 28.61 is: 42.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 107.89 = 28.61 : x
  2. Step 2: Convert to fraction form
    71.94/107.89 = 28.61/x
  3. Step 3: Cross multiply
    71.94x = 107.89 × 28.61
  4. Step 4: Simplify right side
    71.94x = 3,086.73
  5. Step 5: Solve for x
    x = 3,086.73/71.94
  6. Step 6: Final answer
    x = 42.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.