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Finding the Fourth Proportional to 109.15, 163.56 and 68.44

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Solution

The fourth proportional to 109.15, 163.56 and 68.44 is: 102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.15 : 163.56 = 68.44 : x
  2. Step 2: Convert to fraction form
    109.15/163.56 = 68.44/x
  3. Step 3: Cross multiply
    109.15x = 163.56 × 68.44
  4. Step 4: Simplify right side
    109.15x = 11,194.05
  5. Step 5: Solve for x
    x = 11,194.05/109.15
  6. Step 6: Final answer
    x = 102.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.