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Finding the Fourth Proportional to 40.78, 60.83 and 38.27

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Solution

The fourth proportional to 40.78, 60.83 and 38.27 is: 57.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 60.83 = 38.27 : x
  2. Step 2: Convert to fraction form
    40.78/60.83 = 38.27/x
  3. Step 3: Cross multiply
    40.78x = 60.83 × 38.27
  4. Step 4: Simplify right side
    40.78x = 2,327.96
  5. Step 5: Solve for x
    x = 2,327.96/40.78
  6. Step 6: Final answer
    x = 57.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.