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Finding the Fourth Proportional to 105.73, 146.00 and 81.29

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Solution

The fourth proportional to 105.73, 146.00 and 81.29 is: 112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.73 : 146.00 = 81.29 : x
  2. Step 2: Convert to fraction form
    105.73/146.00 = 81.29/x
  3. Step 3: Cross multiply
    105.73x = 146.00 × 81.29
  4. Step 4: Simplify right side
    105.73x = 11,868.91
  5. Step 5: Solve for x
    x = 11,868.91/105.73
  6. Step 6: Final answer
    x = 112.26

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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.