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Finding the Fourth Proportional to 105.24, 157.80 and 36.74

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Solution

The fourth proportional to 105.24, 157.80 and 36.74 is: 55.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 157.80 = 36.74 : x
  2. Step 2: Convert to fraction form
    105.24/157.80 = 36.74/x
  3. Step 3: Cross multiply
    105.24x = 157.80 × 36.74
  4. Step 4: Simplify right side
    105.24x = 5,797.57
  5. Step 5: Solve for x
    x = 5,797.57/105.24
  6. Step 6: Final answer
    x = 55.09

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