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Finding the Fourth Proportional to 137.04, 205.68 and 109.68

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Solution

The fourth proportional to 137.04, 205.68 and 109.68 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.04 : 205.68 = 109.68 : x
  2. Step 2: Convert to fraction form
    137.04/205.68 = 109.68/x
  3. Step 3: Cross multiply
    137.04x = 205.68 × 109.68
  4. Step 4: Simplify right side
    137.04x = 22,558.98
  5. Step 5: Solve for x
    x = 22,558.98/137.04
  6. Step 6: Final answer
    x = 164.62

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