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Finding the Fourth Proportional to 106.50, 146.73 and 81.85

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Solution

The fourth proportional to 106.50, 146.73 and 81.85 is: 112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 146.73 = 81.85 : x
  2. Step 2: Convert to fraction form
    106.50/146.73 = 81.85/x
  3. Step 3: Cross multiply
    106.50x = 146.73 × 81.85
  4. Step 4: Simplify right side
    106.50x = 12,009.85
  5. Step 5: Solve for x
    x = 12,009.85/106.50
  6. Step 6: Final answer
    x = 112.77

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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.