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Finding the Fourth Proportional to 105.96, 146.24 and 69.22

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Solution

The fourth proportional to 105.96, 146.24 and 69.22 is: 95.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 146.24 = 69.22 : x
  2. Step 2: Convert to fraction form
    105.96/146.24 = 69.22/x
  3. Step 3: Cross multiply
    105.96x = 146.24 × 69.22
  4. Step 4: Simplify right side
    105.96x = 10,122.39
  5. Step 5: Solve for x
    x = 10,122.39/105.96
  6. Step 6: Final answer
    x = 95.53

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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.