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Finding the Fourth Proportional to 105.92, 144.91 and 105.47

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Solution

The fourth proportional to 105.92, 144.91 and 105.47 is: 144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 144.91 = 105.47 : x
  2. Step 2: Convert to fraction form
    105.92/144.91 = 105.47/x
  3. Step 3: Cross multiply
    105.92x = 144.91 × 105.47
  4. Step 4: Simplify right side
    105.92x = 15,283.61
  5. Step 5: Solve for x
    x = 15,283.61/105.92
  6. Step 6: Final answer
    x = 144.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.