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Finding the Fourth Proportional to 105.82, 158.45 and 89.64

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Solution

The fourth proportional to 105.82, 158.45 and 89.64 is: 134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 158.45 = 89.64 : x
  2. Step 2: Convert to fraction form
    105.82/158.45 = 89.64/x
  3. Step 3: Cross multiply
    105.82x = 158.45 × 89.64
  4. Step 4: Simplify right side
    105.82x = 14,203.01
  5. Step 5: Solve for x
    x = 14,203.01/105.82
  6. Step 6: Final answer
    x = 134.22

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