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Finding the Fourth Proportional to 106.54, 146.79 and 81.93

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Solution

The fourth proportional to 106.54, 146.79 and 81.93 is: 112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 146.79 = 81.93 : x
  2. Step 2: Convert to fraction form
    106.54/146.79 = 81.93/x
  3. Step 3: Cross multiply
    106.54x = 146.79 × 81.93
  4. Step 4: Simplify right side
    106.54x = 12,025.77
  5. Step 5: Solve for x
    x = 12,025.77/106.54
  6. Step 6: Final answer
    x = 112.88

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