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Finding the Fourth Proportional to 106.30, 146.62 and 81.80

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Solution

The fourth proportional to 106.30, 146.62 and 81.80 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.30 : 146.62 = 81.80 : x
  2. Step 2: Convert to fraction form
    106.30/146.62 = 81.80/x
  3. Step 3: Cross multiply
    106.30x = 146.62 × 81.80
  4. Step 4: Simplify right side
    106.30x = 11,993.52
  5. Step 5: Solve for x
    x = 11,993.52/106.30
  6. Step 6: Final answer
    x = 112.83

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Why These Related Problems?

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