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Finding the Fourth Proportional to 105.96, 146.20 and 59.33

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Solution

The fourth proportional to 105.96, 146.20 and 59.33 is: 81.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 146.20 = 59.33 : x
  2. Step 2: Convert to fraction form
    105.96/146.20 = 59.33/x
  3. Step 3: Cross multiply
    105.96x = 146.20 × 59.33
  4. Step 4: Simplify right side
    105.96x = 8,673.32
  5. Step 5: Solve for x
    x = 8,673.32/105.96
  6. Step 6: Final answer
    x = 81.86

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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.