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Finding the Fourth Proportional to 105.86, 146 and 76.76

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Solution

The fourth proportional to 105.86, 146 and 76.76 is: 105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 146 = 76.76 : x
  2. Step 2: Convert to fraction form
    105.86/146 = 76.76/x
  3. Step 3: Cross multiply
    105.86x = 146 × 76.76
  4. Step 4: Simplify right side
    105.86x = 11,206.96
  5. Step 5: Solve for x
    x = 11,206.96/105.86
  6. Step 6: Final answer
    x = 105.87

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