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Finding the Fourth Proportional to 109.75, 164.61 and 28.59

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Solution

The fourth proportional to 109.75, 164.61 and 28.59 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.61 = 28.59 : x
  2. Step 2: Convert to fraction form
    109.75/164.61 = 28.59/x
  3. Step 3: Cross multiply
    109.75x = 164.61 × 28.59
  4. Step 4: Simplify right side
    109.75x = 4,706.89
  5. Step 5: Solve for x
    x = 4,706.89/109.75
  6. Step 6: Final answer
    x = 42.89

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