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Finding the Fourth Proportional to 146.31, 218.91 and 105.64

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Solution

The fourth proportional to 146.31, 218.91 and 105.64 is: 158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 218.91 = 105.64 : x
  2. Step 2: Convert to fraction form
    146.31/218.91 = 105.64/x
  3. Step 3: Cross multiply
    146.31x = 218.91 × 105.64
  4. Step 4: Simplify right side
    146.31x = 23,125.65
  5. Step 5: Solve for x
    x = 23,125.65/146.31
  6. Step 6: Final answer
    x = 158.06

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