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Finding the Fourth Proportional to 110.30, 165.34 and 77.80

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Solution

The fourth proportional to 110.30, 165.34 and 77.80 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.30 : 165.34 = 77.80 : x
  2. Step 2: Convert to fraction form
    110.30/165.34 = 77.80/x
  3. Step 3: Cross multiply
    110.30x = 165.34 × 77.80
  4. Step 4: Simplify right side
    110.30x = 12,863.45
  5. Step 5: Solve for x
    x = 12,863.45/110.30
  6. Step 6: Final answer
    x = 116.62

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