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Finding the Fourth Proportional to 39.06, 57.78 and 38.88

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Solution

The fourth proportional to 39.06, 57.78 and 38.88 is: 57.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.06 : 57.78 = 38.88 : x
  2. Step 2: Convert to fraction form
    39.06/57.78 = 38.88/x
  3. Step 3: Cross multiply
    39.06x = 57.78 × 38.88
  4. Step 4: Simplify right side
    39.06x = 2,246.49
  5. Step 5: Solve for x
    x = 2,246.49/39.06
  6. Step 6: Final answer
    x = 57.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.