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Finding the Fourth Proportional to 108.78, 150.28 and 77.82

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Solution

The fourth proportional to 108.78, 150.28 and 77.82 is: 107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.78 : 150.28 = 77.82 : x
  2. Step 2: Convert to fraction form
    108.78/150.28 = 77.82/x
  3. Step 3: Cross multiply
    108.78x = 150.28 × 77.82
  4. Step 4: Simplify right side
    108.78x = 11,694.79
  5. Step 5: Solve for x
    x = 11,694.79/108.78
  6. Step 6: Final answer
    x = 107.51

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