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Finding the Fourth Proportional to 271.28, 406.60 and 108.72

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Solution

The fourth proportional to 271.28, 406.60 and 108.72 is: 162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.28 : 406.60 = 108.72 : x
  2. Step 2: Convert to fraction form
    271.28/406.60 = 108.72/x
  3. Step 3: Cross multiply
    271.28x = 406.60 × 108.72
  4. Step 4: Simplify right side
    271.28x = 44,205.55
  5. Step 5: Solve for x
    x = 44,205.55/271.28
  6. Step 6: Final answer
    x = 162.95

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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.