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Finding the Fourth Proportional to 126.56, 189.89 and 77.90

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Solution

The fourth proportional to 126.56, 189.89 and 77.90 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.56 : 189.89 = 77.90 : x
  2. Step 2: Convert to fraction form
    126.56/189.89 = 77.90/x
  3. Step 3: Cross multiply
    126.56x = 189.89 × 77.90
  4. Step 4: Simplify right side
    126.56x = 14,791.09
  5. Step 5: Solve for x
    x = 14,791.09/126.56
  6. Step 6: Final answer
    x = 116.87

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