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Finding the Fourth Proportional to 40.26, 55.81 and 38.21

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Solution

The fourth proportional to 40.26, 55.81 and 38.21 is: 52.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.26 : 55.81 = 38.21 : x
  2. Step 2: Convert to fraction form
    40.26/55.81 = 38.21/x
  3. Step 3: Cross multiply
    40.26x = 55.81 × 38.21
  4. Step 4: Simplify right side
    40.26x = 2,132.50
  5. Step 5: Solve for x
    x = 2,132.50/40.26
  6. Step 6: Final answer
    x = 52.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.