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Finding the Fourth Proportional to 106.08, 159.21 and 84.84

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Solution

The fourth proportional to 106.08, 159.21 and 84.84 is: 127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 159.21 = 84.84 : x
  2. Step 2: Convert to fraction form
    106.08/159.21 = 84.84/x
  3. Step 3: Cross multiply
    106.08x = 159.21 × 84.84
  4. Step 4: Simplify right side
    106.08x = 13,507.38
  5. Step 5: Solve for x
    x = 13,507.38/106.08
  6. Step 6: Final answer
    x = 127.33

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