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Finding the Fourth Proportional to 105.24, 157.84 and 53.82

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Solution

The fourth proportional to 105.24, 157.84 and 53.82 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 157.84 = 53.82 : x
  2. Step 2: Convert to fraction form
    105.24/157.84 = 53.82/x
  3. Step 3: Cross multiply
    105.24x = 157.84 × 53.82
  4. Step 4: Simplify right side
    105.24x = 8,494.95
  5. Step 5: Solve for x
    x = 8,494.95/105.24
  6. Step 6: Final answer
    x = 80.72

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