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Finding the Fourth Proportional to 57.78, 79.71 and 39.09

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Solution

The fourth proportional to 57.78, 79.71 and 39.09 is: 53.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.78 : 79.71 = 39.09 : x
  2. Step 2: Convert to fraction form
    57.78/79.71 = 39.09/x
  3. Step 3: Cross multiply
    57.78x = 79.71 × 39.09
  4. Step 4: Simplify right side
    57.78x = 3,115.86
  5. Step 5: Solve for x
    x = 3,115.86/57.78
  6. Step 6: Final answer
    x = 53.93

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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.