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Finding the Fourth Proportional to 105.85, 158.81 and 37.42

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Solution

The fourth proportional to 105.85, 158.81 and 37.42 is: 56.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 158.81 = 37.42 : x
  2. Step 2: Convert to fraction form
    105.85/158.81 = 37.42/x
  3. Step 3: Cross multiply
    105.85x = 158.81 × 37.42
  4. Step 4: Simplify right side
    105.85x = 5,942.53
  5. Step 5: Solve for x
    x = 5,942.53/105.85
  6. Step 6: Final answer
    x = 56.14

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