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Finding the Fourth Proportional to 109.92, 164.40 and 89.76

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Solution

The fourth proportional to 109.92, 164.40 and 89.76 is: 134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.92 : 164.40 = 89.76 : x
  2. Step 2: Convert to fraction form
    109.92/164.40 = 89.76/x
  3. Step 3: Cross multiply
    109.92x = 164.40 × 89.76
  4. Step 4: Simplify right side
    109.92x = 14,756.54
  5. Step 5: Solve for x
    x = 14,756.54/109.92
  6. Step 6: Final answer
    x = 134.25

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