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Finding the Fourth Proportional to 281.12, 421.72 and 107.84

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Solution

The fourth proportional to 281.12, 421.72 and 107.84 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 421.72 = 107.84 : x
  2. Step 2: Convert to fraction form
    281.12/421.72 = 107.84/x
  3. Step 3: Cross multiply
    281.12x = 421.72 × 107.84
  4. Step 4: Simplify right side
    281.12x = 45,475.91
  5. Step 5: Solve for x
    x = 45,475.91/281.12
  6. Step 6: Final answer
    x = 161.77

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