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Finding the Fourth Proportional to 109.64, 164.07 and 80.68

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Solution

The fourth proportional to 109.64, 164.07 and 80.68 is: 120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 164.07 = 80.68 : x
  2. Step 2: Convert to fraction form
    109.64/164.07 = 80.68/x
  3. Step 3: Cross multiply
    109.64x = 164.07 × 80.68
  4. Step 4: Simplify right side
    109.64x = 13,236.76
  5. Step 5: Solve for x
    x = 13,236.76/109.64
  6. Step 6: Final answer
    x = 120.73

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