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Finding the Fourth Proportional to 109.86, 165.12 and 64.30

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Solution

The fourth proportional to 109.86, 165.12 and 64.30 is: 96.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 165.12 = 64.30 : x
  2. Step 2: Convert to fraction form
    109.86/165.12 = 64.30/x
  3. Step 3: Cross multiply
    109.86x = 165.12 × 64.30
  4. Step 4: Simplify right side
    109.86x = 10,616.07
  5. Step 5: Solve for x
    x = 10,616.07/109.86
  6. Step 6: Final answer
    x = 96.63

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