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Finding the Fourth Proportional to 105.96, 146.04 and 81.35

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Solution

The fourth proportional to 105.96, 146.04 and 81.35 is: 112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 146.04 = 81.35 : x
  2. Step 2: Convert to fraction form
    105.96/146.04 = 81.35/x
  3. Step 3: Cross multiply
    105.96x = 146.04 × 81.35
  4. Step 4: Simplify right side
    105.96x = 11,879.62
  5. Step 5: Solve for x
    x = 11,879.62/105.96
  6. Step 6: Final answer
    x = 112.11

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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.