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Finding the Fourth Proportional to 38.32, 57.40 and 30.19

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Solution

The fourth proportional to 38.32, 57.40 and 30.19 is: 45.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.32 : 57.40 = 30.19 : x
  2. Step 2: Convert to fraction form
    38.32/57.40 = 30.19/x
  3. Step 3: Cross multiply
    38.32x = 57.40 × 30.19
  4. Step 4: Simplify right side
    38.32x = 1,732.91
  5. Step 5: Solve for x
    x = 1,732.91/38.32
  6. Step 6: Final answer
    x = 45.22

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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.