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Finding the Fourth Proportional to 105.11, 144.98 and 63.68

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Solution

The fourth proportional to 105.11, 144.98 and 63.68 is: 87.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.11 : 144.98 = 63.68 : x
  2. Step 2: Convert to fraction form
    105.11/144.98 = 63.68/x
  3. Step 3: Cross multiply
    105.11x = 144.98 × 63.68
  4. Step 4: Simplify right side
    105.11x = 9,231.28
  5. Step 5: Solve for x
    x = 9,231.28/105.11
  6. Step 6: Final answer
    x = 87.83

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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.