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Finding the Fourth Proportional to 105.83, 158.81 and 65.24

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Solution

The fourth proportional to 105.83, 158.81 and 65.24 is: 97.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 158.81 = 65.24 : x
  2. Step 2: Convert to fraction form
    105.83/158.81 = 65.24/x
  3. Step 3: Cross multiply
    105.83x = 158.81 × 65.24
  4. Step 4: Simplify right side
    105.83x = 10,360.76
  5. Step 5: Solve for x
    x = 10,360.76/105.83
  6. Step 6: Final answer
    x = 97.90

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