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Finding the Fourth Proportional to 38.21, 56.88 and 36.55

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Solution

The fourth proportional to 38.21, 56.88 and 36.55 is: 54.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.21 : 56.88 = 36.55 : x
  2. Step 2: Convert to fraction form
    38.21/56.88 = 36.55/x
  3. Step 3: Cross multiply
    38.21x = 56.88 × 36.55
  4. Step 4: Simplify right side
    38.21x = 2,078.96
  5. Step 5: Solve for x
    x = 2,078.96/38.21
  6. Step 6: Final answer
    x = 54.41

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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.