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Finding the Fourth Proportional to 105.92, 146.21 and 64.49

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Solution

The fourth proportional to 105.92, 146.21 and 64.49 is: 89.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.21 = 64.49 : x
  2. Step 2: Convert to fraction form
    105.92/146.21 = 64.49/x
  3. Step 3: Cross multiply
    105.92x = 146.21 × 64.49
  4. Step 4: Simplify right side
    105.92x = 9,428.54
  5. Step 5: Solve for x
    x = 9,428.54/105.92
  6. Step 6: Final answer
    x = 89.02

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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.