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Finding the Fourth Proportional to 106, 158.83 and 86.78

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Solution

The fourth proportional to 106, 158.83 and 86.78 is: 130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 158.83 = 86.78 : x
  2. Step 2: Convert to fraction form
    106/158.83 = 86.78/x
  3. Step 3: Cross multiply
    106x = 158.83 × 86.78
  4. Step 4: Simplify right side
    106x = 13,782.83
  5. Step 5: Solve for x
    x = 13,782.83/106
  6. Step 6: Final answer
    x = 130.03

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