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Finding the Fourth Proportional to 109.00, 163.44 and 63.44

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Solution

The fourth proportional to 109.00, 163.44 and 63.44 is: 95.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.00 : 163.44 = 63.44 : x
  2. Step 2: Convert to fraction form
    109.00/163.44 = 63.44/x
  3. Step 3: Cross multiply
    109.00x = 163.44 × 63.44
  4. Step 4: Simplify right side
    109.00x = 10,367.82
  5. Step 5: Solve for x
    x = 10,367.82/109.00
  6. Step 6: Final answer
    x = 95.12

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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.