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Finding the Fourth Proportional to 38.26, 57.04 and 35.38

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Solution

The fourth proportional to 38.26, 57.04 and 35.38 is: 52.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.26 : 57.04 = 35.38 : x
  2. Step 2: Convert to fraction form
    38.26/57.04 = 35.38/x
  3. Step 3: Cross multiply
    38.26x = 57.04 × 35.38
  4. Step 4: Simplify right side
    38.26x = 2,018.08
  5. Step 5: Solve for x
    x = 2,018.08/38.26
  6. Step 6: Final answer
    x = 52.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.