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Finding the Fourth Proportional to 110.06, 165.09 and 89.78

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Solution

The fourth proportional to 110.06, 165.09 and 89.78 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 165.09 = 89.78 : x
  2. Step 2: Convert to fraction form
    110.06/165.09 = 89.78/x
  3. Step 3: Cross multiply
    110.06x = 165.09 × 89.78
  4. Step 4: Simplify right side
    110.06x = 14,822.18
  5. Step 5: Solve for x
    x = 14,822.18/110.06
  6. Step 6: Final answer
    x = 134.68

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