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Finding the Fourth Proportional to 107.82, 161.70 and 106.44

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Solution

The fourth proportional to 107.82, 161.70 and 106.44 is: 159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 161.70 = 106.44 : x
  2. Step 2: Convert to fraction form
    107.82/161.70 = 106.44/x
  3. Step 3: Cross multiply
    107.82x = 161.70 × 106.44
  4. Step 4: Simplify right side
    107.82x = 17,211.35
  5. Step 5: Solve for x
    x = 17,211.35/107.82
  6. Step 6: Final answer
    x = 159.63

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