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Finding the Fourth Proportional to 109.37, 163.85 and 82.23

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Solution

The fourth proportional to 109.37, 163.85 and 82.23 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.37 : 163.85 = 82.23 : x
  2. Step 2: Convert to fraction form
    109.37/163.85 = 82.23/x
  3. Step 3: Cross multiply
    109.37x = 163.85 × 82.23
  4. Step 4: Simplify right side
    109.37x = 13,472.97
  5. Step 5: Solve for x
    x = 13,472.97/109.37
  6. Step 6: Final answer
    x = 123.19

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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.