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Finding the Fourth Proportional to 57.18, 78.84 and 44.85

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Solution

The fourth proportional to 57.18, 78.84 and 44.85 is: 61.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.18 : 78.84 = 44.85 : x
  2. Step 2: Convert to fraction form
    57.18/78.84 = 44.85/x
  3. Step 3: Cross multiply
    57.18x = 78.84 × 44.85
  4. Step 4: Simplify right side
    57.18x = 3,535.97
  5. Step 5: Solve for x
    x = 3,535.97/57.18
  6. Step 6: Final answer
    x = 61.84

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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.