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Finding the Fourth Proportional to 105.92, 158.68 and 78.48

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Solution

The fourth proportional to 105.92, 158.68 and 78.48 is: 117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 158.68 = 78.48 : x
  2. Step 2: Convert to fraction form
    105.92/158.68 = 78.48/x
  3. Step 3: Cross multiply
    105.92x = 158.68 × 78.48
  4. Step 4: Simplify right side
    105.92x = 12,453.21
  5. Step 5: Solve for x
    x = 12,453.21/105.92
  6. Step 6: Final answer
    x = 117.57

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