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Finding the Fourth Proportional to 106.55, 159.91 and 99.42

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Solution

The fourth proportional to 106.55, 159.91 and 99.42 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.55 : 159.91 = 99.42 : x
  2. Step 2: Convert to fraction form
    106.55/159.91 = 99.42/x
  3. Step 3: Cross multiply
    106.55x = 159.91 × 99.42
  4. Step 4: Simplify right side
    106.55x = 15,898.25
  5. Step 5: Solve for x
    x = 15,898.25/106.55
  6. Step 6: Final answer
    x = 149.21

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