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Finding the Fourth Proportional to 106.21, 159.33 and 99.46

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Solution

The fourth proportional to 106.21, 159.33 and 99.46 is: 149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.21 : 159.33 = 99.46 : x
  2. Step 2: Convert to fraction form
    106.21/159.33 = 99.46/x
  3. Step 3: Cross multiply
    106.21x = 159.33 × 99.46
  4. Step 4: Simplify right side
    106.21x = 15,846.96
  5. Step 5: Solve for x
    x = 15,846.96/106.21
  6. Step 6: Final answer
    x = 149.20

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