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Finding the Fourth Proportional to 89.96, 135 and 77.24

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Solution

The fourth proportional to 89.96, 135 and 77.24 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.96 : 135 = 77.24 : x
  2. Step 2: Convert to fraction form
    89.96/135 = 77.24/x
  3. Step 3: Cross multiply
    89.96x = 135 × 77.24
  4. Step 4: Simplify right side
    89.96x = 10,427.40
  5. Step 5: Solve for x
    x = 10,427.40/89.96
  6. Step 6: Final answer
    x = 115.91

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