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Finding the Fourth Proportional to 105.22, 157.84 and 51.11

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Solution

The fourth proportional to 105.22, 157.84 and 51.11 is: 76.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 157.84 = 51.11 : x
  2. Step 2: Convert to fraction form
    105.22/157.84 = 51.11/x
  3. Step 3: Cross multiply
    105.22x = 157.84 × 51.11
  4. Step 4: Simplify right side
    105.22x = 8,066.41
  5. Step 5: Solve for x
    x = 8,066.41/105.22
  6. Step 6: Final answer
    x = 76.67

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