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Finding the Fourth Proportional to 146.41, 219.64 and 64.20

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Solution

The fourth proportional to 146.41, 219.64 and 64.20 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.41 : 219.64 = 64.20 : x
  2. Step 2: Convert to fraction form
    146.41/219.64 = 64.20/x
  3. Step 3: Cross multiply
    146.41x = 219.64 × 64.20
  4. Step 4: Simplify right side
    146.41x = 14,100.87
  5. Step 5: Solve for x
    x = 14,100.87/146.41
  6. Step 6: Final answer
    x = 96.31

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