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Finding the Fourth Proportional to 40.28, 60.75 and 38.32

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Solution

The fourth proportional to 40.28, 60.75 and 38.32 is: 57.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.28 : 60.75 = 38.32 : x
  2. Step 2: Convert to fraction form
    40.28/60.75 = 38.32/x
  3. Step 3: Cross multiply
    40.28x = 60.75 × 38.32
  4. Step 4: Simplify right side
    40.28x = 2,327.94
  5. Step 5: Solve for x
    x = 2,327.94/40.28
  6. Step 6: Final answer
    x = 57.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.