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Finding the Fourth Proportional to 77.82, 116.76 and 32.16

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Solution

The fourth proportional to 77.82, 116.76 and 32.16 is: 48.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 116.76 = 32.16 : x
  2. Step 2: Convert to fraction form
    77.82/116.76 = 32.16/x
  3. Step 3: Cross multiply
    77.82x = 116.76 × 32.16
  4. Step 4: Simplify right side
    77.82x = 3,755.00
  5. Step 5: Solve for x
    x = 3,755.00/77.82
  6. Step 6: Final answer
    x = 48.25

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