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Finding the Fourth Proportional to 144, 215.85 and 109.71

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Solution

The fourth proportional to 144, 215.85 and 109.71 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 215.85 = 109.71 : x
  2. Step 2: Convert to fraction form
    144/215.85 = 109.71/x
  3. Step 3: Cross multiply
    144x = 215.85 × 109.71
  4. Step 4: Simplify right side
    144x = 23,680.90
  5. Step 5: Solve for x
    x = 23,680.90/144
  6. Step 6: Final answer
    x = 164.45

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