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Finding the Fourth Proportional to 109.71, 164.43 and 91.62

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Solution

The fourth proportional to 109.71, 164.43 and 91.62 is: 137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.71 : 164.43 = 91.62 : x
  2. Step 2: Convert to fraction form
    109.71/164.43 = 91.62/x
  3. Step 3: Cross multiply
    109.71x = 164.43 × 91.62
  4. Step 4: Simplify right side
    109.71x = 15,065.08
  5. Step 5: Solve for x
    x = 15,065.08/109.71
  6. Step 6: Final answer
    x = 137.32

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