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Finding the Fourth Proportional to 109.14, 163.55 and 83.43

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Solution

The fourth proportional to 109.14, 163.55 and 83.43 is: 125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 163.55 = 83.43 : x
  2. Step 2: Convert to fraction form
    109.14/163.55 = 83.43/x
  3. Step 3: Cross multiply
    109.14x = 163.55 × 83.43
  4. Step 4: Simplify right side
    109.14x = 13,644.56
  5. Step 5: Solve for x
    x = 13,644.56/109.14
  6. Step 6: Final answer
    x = 125.02

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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.