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Finding the Fourth Proportional to 106.88, 160.20 and 76.35

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Solution

The fourth proportional to 106.88, 160.20 and 76.35 is: 114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 160.20 = 76.35 : x
  2. Step 2: Convert to fraction form
    106.88/160.20 = 76.35/x
  3. Step 3: Cross multiply
    106.88x = 160.20 × 76.35
  4. Step 4: Simplify right side
    106.88x = 12,231.27
  5. Step 5: Solve for x
    x = 12,231.27/106.88
  6. Step 6: Final answer
    x = 114.44

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