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Finding the Fourth Proportional to 106.85, 160.25 and 52.75

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Solution

The fourth proportional to 106.85, 160.25 and 52.75 is: 79.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.85 : 160.25 = 52.75 : x
  2. Step 2: Convert to fraction form
    106.85/160.25 = 52.75/x
  3. Step 3: Cross multiply
    106.85x = 160.25 × 52.75
  4. Step 4: Simplify right side
    106.85x = 8,453.12
  5. Step 5: Solve for x
    x = 8,453.12/106.85
  6. Step 6: Final answer
    x = 79.11

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