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Finding the Fourth Proportional to 57.10, 78.78 and 33.78

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Solution

The fourth proportional to 57.10, 78.78 and 33.78 is: 46.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.10 : 78.78 = 33.78 : x
  2. Step 2: Convert to fraction form
    57.10/78.78 = 33.78/x
  3. Step 3: Cross multiply
    57.10x = 78.78 × 33.78
  4. Step 4: Simplify right side
    57.10x = 2,660.73
  5. Step 5: Solve for x
    x = 2,660.73/57.10
  6. Step 6: Final answer
    x = 46.60

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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.