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Finding the Fourth Proportional to 110.22, 164.97 and 78.06

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Solution

The fourth proportional to 110.22, 164.97 and 78.06 is: 116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.22 : 164.97 = 78.06 : x
  2. Step 2: Convert to fraction form
    110.22/164.97 = 78.06/x
  3. Step 3: Cross multiply
    110.22x = 164.97 × 78.06
  4. Step 4: Simplify right side
    110.22x = 12,877.56
  5. Step 5: Solve for x
    x = 12,877.56/110.22
  6. Step 6: Final answer
    x = 116.84

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