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Finding the Fourth Proportional to 105.44, 144.62 and 103.44

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Solution

The fourth proportional to 105.44, 144.62 and 103.44 is: 141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.44 : 144.62 = 103.44 : x
  2. Step 2: Convert to fraction form
    105.44/144.62 = 103.44/x
  3. Step 3: Cross multiply
    105.44x = 144.62 × 103.44
  4. Step 4: Simplify right side
    105.44x = 14,959.91
  5. Step 5: Solve for x
    x = 14,959.91/105.44
  6. Step 6: Final answer
    x = 141.89

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Why These Related Problems?

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