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Finding the Fourth Proportional to 41.98, 57.78 and 34.54

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Solution

The fourth proportional to 41.98, 57.78 and 34.54 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.98 : 57.78 = 34.54 : x
  2. Step 2: Convert to fraction form
    41.98/57.78 = 34.54/x
  3. Step 3: Cross multiply
    41.98x = 57.78 × 34.54
  4. Step 4: Simplify right side
    41.98x = 1,995.72
  5. Step 5: Solve for x
    x = 1,995.72/41.98
  6. Step 6: Final answer
    x = 47.54

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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.