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Finding the Fourth Proportional to 106.97, 160.65 and 83.07

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Solution

The fourth proportional to 106.97, 160.65 and 83.07 is: 124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 160.65 = 83.07 : x
  2. Step 2: Convert to fraction form
    106.97/160.65 = 83.07/x
  3. Step 3: Cross multiply
    106.97x = 160.65 × 83.07
  4. Step 4: Simplify right side
    106.97x = 13,345.20
  5. Step 5: Solve for x
    x = 13,345.20/106.97
  6. Step 6: Final answer
    x = 124.76

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