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Finding the Fourth Proportional to 105.12, 143.82 and 103.23

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Solution

The fourth proportional to 105.12, 143.82 and 103.23 is: 141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 143.82 = 103.23 : x
  2. Step 2: Convert to fraction form
    105.12/143.82 = 103.23/x
  3. Step 3: Cross multiply
    105.12x = 143.82 × 103.23
  4. Step 4: Simplify right side
    105.12x = 14,846.54
  5. Step 5: Solve for x
    x = 14,846.54/105.12
  6. Step 6: Final answer
    x = 141.23

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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.