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Finding the Fourth Proportional to 137.82, 206.73 and 84.06

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Solution

The fourth proportional to 137.82, 206.73 and 84.06 is: 126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 206.73 = 84.06 : x
  2. Step 2: Convert to fraction form
    137.82/206.73 = 84.06/x
  3. Step 3: Cross multiply
    137.82x = 206.73 × 84.06
  4. Step 4: Simplify right side
    137.82x = 17,377.72
  5. Step 5: Solve for x
    x = 17,377.72/137.82
  6. Step 6: Final answer
    x = 126.09

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