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Finding the Fourth Proportional to 103.96, 155.94 and 31.82

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Solution

The fourth proportional to 103.96, 155.94 and 31.82 is: 47.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 155.94 = 31.82 : x
  2. Step 2: Convert to fraction form
    103.96/155.94 = 31.82/x
  3. Step 3: Cross multiply
    103.96x = 155.94 × 31.82
  4. Step 4: Simplify right side
    103.96x = 4,962.01
  5. Step 5: Solve for x
    x = 4,962.01/103.96
  6. Step 6: Final answer
    x = 47.73

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