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Finding the Fourth Proportional to 105.22, 157.78 and 51.18

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Solution

The fourth proportional to 105.22, 157.78 and 51.18 is: 76.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 157.78 = 51.18 : x
  2. Step 2: Convert to fraction form
    105.22/157.78 = 51.18/x
  3. Step 3: Cross multiply
    105.22x = 157.78 × 51.18
  4. Step 4: Simplify right side
    105.22x = 8,075.18
  5. Step 5: Solve for x
    x = 8,075.18/105.22
  6. Step 6: Final answer
    x = 76.75

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