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Finding the Fourth Proportional to 126.90, 189.27 and 122.31

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Solution

The fourth proportional to 126.90, 189.27 and 122.31 is: 182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.90 : 189.27 = 122.31 : x
  2. Step 2: Convert to fraction form
    126.90/189.27 = 122.31/x
  3. Step 3: Cross multiply
    126.90x = 189.27 × 122.31
  4. Step 4: Simplify right side
    126.90x = 23,149.61
  5. Step 5: Solve for x
    x = 23,149.61/126.90
  6. Step 6: Final answer
    x = 182.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.