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Finding the Fourth Proportional to 109.76, 164.25 and 107.69

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Solution

The fourth proportional to 109.76, 164.25 and 107.69 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 164.25 = 107.69 : x
  2. Step 2: Convert to fraction form
    109.76/164.25 = 107.69/x
  3. Step 3: Cross multiply
    109.76x = 164.25 × 107.69
  4. Step 4: Simplify right side
    109.76x = 17,687.26
  5. Step 5: Solve for x
    x = 17,687.26/109.76
  6. Step 6: Final answer
    x = 161.15

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