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Finding the Fourth Proportional to 106.07, 159.10 and 75.56

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Solution

The fourth proportional to 106.07, 159.10 and 75.56 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.07 : 159.10 = 75.56 : x
  2. Step 2: Convert to fraction form
    106.07/159.10 = 75.56/x
  3. Step 3: Cross multiply
    106.07x = 159.10 × 75.56
  4. Step 4: Simplify right side
    106.07x = 12,020.61
  5. Step 5: Solve for x
    x = 12,020.61/106.07
  6. Step 6: Final answer
    x = 113.33

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