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Finding the Fourth Proportional to 120.93, 182.01 and 109.74

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Solution

The fourth proportional to 120.93, 182.01 and 109.74 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.93 : 182.01 = 109.74 : x
  2. Step 2: Convert to fraction form
    120.93/182.01 = 109.74/x
  3. Step 3: Cross multiply
    120.93x = 182.01 × 109.74
  4. Step 4: Simplify right side
    120.93x = 19,973.78
  5. Step 5: Solve for x
    x = 19,973.78/120.93
  6. Step 6: Final answer
    x = 165.17

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