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Finding the Fourth Proportional to 116.92, 174.50 and 106.64

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Solution

The fourth proportional to 116.92, 174.50 and 106.64 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.92 : 174.50 = 106.64 : x
  2. Step 2: Convert to fraction form
    116.92/174.50 = 106.64/x
  3. Step 3: Cross multiply
    116.92x = 174.50 × 106.64
  4. Step 4: Simplify right side
    116.92x = 18,608.68
  5. Step 5: Solve for x
    x = 18,608.68/116.92
  6. Step 6: Final answer
    x = 159.16

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