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Finding the Fourth Proportional to 136.80, 188.75 and 105.66

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Solution

The fourth proportional to 136.80, 188.75 and 105.66 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 188.75 = 105.66 : x
  2. Step 2: Convert to fraction form
    136.80/188.75 = 105.66/x
  3. Step 3: Cross multiply
    136.80x = 188.75 × 105.66
  4. Step 4: Simplify right side
    136.80x = 19,942.80
  5. Step 5: Solve for x
    x = 19,942.80/136.80
  6. Step 6: Final answer
    x = 145.78

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