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Finding the Fourth Proportional to 126.44, 189.87 and 109.43

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Solution

The fourth proportional to 126.44, 189.87 and 109.43 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.44 : 189.87 = 109.43 : x
  2. Step 2: Convert to fraction form
    126.44/189.87 = 109.43/x
  3. Step 3: Cross multiply
    126.44x = 189.87 × 109.43
  4. Step 4: Simplify right side
    126.44x = 20,777.95
  5. Step 5: Solve for x
    x = 20,777.95/126.44
  6. Step 6: Final answer
    x = 164.33

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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.