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Finding the Fourth Proportional to 106.56, 159.84 and 63.84

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Solution

The fourth proportional to 106.56, 159.84 and 63.84 is: 95.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 159.84 = 63.84 : x
  2. Step 2: Convert to fraction form
    106.56/159.84 = 63.84/x
  3. Step 3: Cross multiply
    106.56x = 159.84 × 63.84
  4. Step 4: Simplify right side
    106.56x = 10,204.19
  5. Step 5: Solve for x
    x = 10,204.19/106.56
  6. Step 6: Final answer
    x = 95.76

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