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Finding the Fourth Proportional to 126.12, 189.38 and 105.76

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Solution

The fourth proportional to 126.12, 189.38 and 105.76 is: 158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 189.38 = 105.76 : x
  2. Step 2: Convert to fraction form
    126.12/189.38 = 105.76/x
  3. Step 3: Cross multiply
    126.12x = 189.38 × 105.76
  4. Step 4: Simplify right side
    126.12x = 20,028.83
  5. Step 5: Solve for x
    x = 20,028.83/126.12
  6. Step 6: Final answer
    x = 158.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.