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Finding the Fourth Proportional to 126.32, 189.22 and 105.91

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Solution

The fourth proportional to 126.32, 189.22 and 105.91 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.32 : 189.22 = 105.91 : x
  2. Step 2: Convert to fraction form
    126.32/189.22 = 105.91/x
  3. Step 3: Cross multiply
    126.32x = 189.22 × 105.91
  4. Step 4: Simplify right side
    126.32x = 20,040.82
  5. Step 5: Solve for x
    x = 20,040.82/126.32
  6. Step 6: Final answer
    x = 158.66

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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.