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Finding the Fourth Proportional to 106.62, 159.93 and 45.75

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Solution

The fourth proportional to 106.62, 159.93 and 45.75 is: 68.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 159.93 = 45.75 : x
  2. Step 2: Convert to fraction form
    106.62/159.93 = 45.75/x
  3. Step 3: Cross multiply
    106.62x = 159.93 × 45.75
  4. Step 4: Simplify right side
    106.62x = 7,316.80
  5. Step 5: Solve for x
    x = 7,316.80/106.62
  6. Step 6: Final answer
    x = 68.63

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