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Finding the Fourth Proportional to 109.07, 163.91 and 55

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Solution

The fourth proportional to 109.07, 163.91 and 55 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.07 : 163.91 = 55 : x
  2. Step 2: Convert to fraction form
    109.07/163.91 = 55/x
  3. Step 3: Cross multiply
    109.07x = 163.91 × 55
  4. Step 4: Simplify right side
    109.07x = 9,015.05
  5. Step 5: Solve for x
    x = 9,015.05/109.07
  6. Step 6: Final answer
    x = 82.65

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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.