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Finding the Fourth Proportional to 38.96, 58.56 and 36.32

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Solution

The fourth proportional to 38.96, 58.56 and 36.32 is: 54.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.96 : 58.56 = 36.32 : x
  2. Step 2: Convert to fraction form
    38.96/58.56 = 36.32/x
  3. Step 3: Cross multiply
    38.96x = 58.56 × 36.32
  4. Step 4: Simplify right side
    38.96x = 2,126.90
  5. Step 5: Solve for x
    x = 2,126.90/38.96
  6. Step 6: Final answer
    x = 54.59

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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.