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Finding the Fourth Proportional to 38.12, 57.06 and 32.08

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Solution

The fourth proportional to 38.12, 57.06 and 32.08 is: 48.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.12 : 57.06 = 32.08 : x
  2. Step 2: Convert to fraction form
    38.12/57.06 = 32.08/x
  3. Step 3: Cross multiply
    38.12x = 57.06 × 32.08
  4. Step 4: Simplify right side
    38.12x = 1,830.48
  5. Step 5: Solve for x
    x = 1,830.48/38.12
  6. Step 6: Final answer
    x = 48.02

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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.