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Finding the Fourth Proportional to 138.52, 207.78 and 35.81

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Solution

The fourth proportional to 138.52, 207.78 and 35.81 is: 53.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.52 : 207.78 = 35.81 : x
  2. Step 2: Convert to fraction form
    138.52/207.78 = 35.81/x
  3. Step 3: Cross multiply
    138.52x = 207.78 × 35.81
  4. Step 4: Simplify right side
    138.52x = 7,439.38
  5. Step 5: Solve for x
    x = 7,439.38/138.52
  6. Step 6: Final answer
    x = 53.71

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