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Finding the Fourth Proportional to 106.46, 159.89 and 67.98

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Solution

The fourth proportional to 106.46, 159.89 and 67.98 is: 102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 159.89 = 67.98 : x
  2. Step 2: Convert to fraction form
    106.46/159.89 = 67.98/x
  3. Step 3: Cross multiply
    106.46x = 159.89 × 67.98
  4. Step 4: Simplify right side
    106.46x = 10,868.98
  5. Step 5: Solve for x
    x = 10,868.98/106.46
  6. Step 6: Final answer
    x = 102.10

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