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Finding the Fourth Proportional to 110, 165 and 61.84

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Solution

The fourth proportional to 110, 165 and 61.84 is: 92.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 165 = 61.84 : x
  2. Step 2: Convert to fraction form
    110/165 = 61.84/x
  3. Step 3: Cross multiply
    110x = 165 × 61.84
  4. Step 4: Simplify right side
    110x = 10,203.60
  5. Step 5: Solve for x
    x = 10,203.60/110
  6. Step 6: Final answer
    x = 92.76

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