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Finding the Fourth Proportional to 112.78, 169.21 and 72.28

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Solution

The fourth proportional to 112.78, 169.21 and 72.28 is: 108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.78 : 169.21 = 72.28 : x
  2. Step 2: Convert to fraction form
    112.78/169.21 = 72.28/x
  3. Step 3: Cross multiply
    112.78x = 169.21 × 72.28
  4. Step 4: Simplify right side
    112.78x = 12,229.65
  5. Step 5: Solve for x
    x = 12,229.65/112.78
  6. Step 6: Final answer
    x = 108.44

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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.