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Finding the Fourth Proportional to 106.88, 160.07 and 55.40

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Solution

The fourth proportional to 106.88, 160.07 and 55.40 is: 82.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 160.07 = 55.40 : x
  2. Step 2: Convert to fraction form
    106.88/160.07 = 55.40/x
  3. Step 3: Cross multiply
    106.88x = 160.07 × 55.40
  4. Step 4: Simplify right side
    106.88x = 8,866.80
  5. Step 5: Solve for x
    x = 8,866.80/106.88
  6. Step 6: Final answer
    x = 82.96

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