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Finding the Fourth Proportional to 165.53, 228.42 and 91.84

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Solution

The fourth proportional to 165.53, 228.42 and 91.84 is: 126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.53 : 228.42 = 91.84 : x
  2. Step 2: Convert to fraction form
    165.53/228.42 = 91.84/x
  3. Step 3: Cross multiply
    165.53x = 228.42 × 91.84
  4. Step 4: Simplify right side
    165.53x = 20,978.09
  5. Step 5: Solve for x
    x = 20,978.09/165.53
  6. Step 6: Final answer
    x = 126.73

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