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Finding the Fourth Proportional to 40.25, 60.44 and 38.80

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Solution

The fourth proportional to 40.25, 60.44 and 38.80 is: 58.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.25 : 60.44 = 38.80 : x
  2. Step 2: Convert to fraction form
    40.25/60.44 = 38.80/x
  3. Step 3: Cross multiply
    40.25x = 60.44 × 38.80
  4. Step 4: Simplify right side
    40.25x = 2,344.58
  5. Step 5: Solve for x
    x = 2,344.58/40.25
  6. Step 6: Final answer
    x = 58.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.