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Finding the Fourth Proportional to 103.96, 143.46 and 76.42

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Solution

The fourth proportional to 103.96, 143.46 and 76.42 is: 105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 143.46 = 76.42 : x
  2. Step 2: Convert to fraction form
    103.96/143.46 = 76.42/x
  3. Step 3: Cross multiply
    103.96x = 143.46 × 76.42
  4. Step 4: Simplify right side
    103.96x = 10,963.21
  5. Step 5: Solve for x
    x = 10,963.21/103.96
  6. Step 6: Final answer
    x = 105.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.