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Finding the Fourth Proportional to 38.44, 57.54 and 28.15

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Solution

The fourth proportional to 38.44, 57.54 and 28.15 is: 42.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.44 : 57.54 = 28.15 : x
  2. Step 2: Convert to fraction form
    38.44/57.54 = 28.15/x
  3. Step 3: Cross multiply
    38.44x = 57.54 × 28.15
  4. Step 4: Simplify right side
    38.44x = 1,619.75
  5. Step 5: Solve for x
    x = 1,619.75/38.44
  6. Step 6: Final answer
    x = 42.14

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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.