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Finding the Fourth Proportional to 106.20, 146.46 and 79.98

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Solution

The fourth proportional to 106.20, 146.46 and 79.98 is: 110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.20 : 146.46 = 79.98 : x
  2. Step 2: Convert to fraction form
    106.20/146.46 = 79.98/x
  3. Step 3: Cross multiply
    106.20x = 146.46 × 79.98
  4. Step 4: Simplify right side
    106.20x = 11,713.87
  5. Step 5: Solve for x
    x = 11,713.87/106.20
  6. Step 6: Final answer
    x = 110.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.