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Finding the Fourth Proportional to 126.78, 189.92 and 120.22

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Solution

The fourth proportional to 126.78, 189.92 and 120.22 is: 180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.78 : 189.92 = 120.22 : x
  2. Step 2: Convert to fraction form
    126.78/189.92 = 120.22/x
  3. Step 3: Cross multiply
    126.78x = 189.92 × 120.22
  4. Step 4: Simplify right side
    126.78x = 22,832.18
  5. Step 5: Solve for x
    x = 22,832.18/126.78
  6. Step 6: Final answer
    x = 180.09

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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.