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Finding the Fourth Proportional to 137.31, 205.84 and 102.94

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Solution

The fourth proportional to 137.31, 205.84 and 102.94 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.31 : 205.84 = 102.94 : x
  2. Step 2: Convert to fraction form
    137.31/205.84 = 102.94/x
  3. Step 3: Cross multiply
    137.31x = 205.84 × 102.94
  4. Step 4: Simplify right side
    137.31x = 21,189.17
  5. Step 5: Solve for x
    x = 21,189.17/137.31
  6. Step 6: Final answer
    x = 154.32

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