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Finding the Fourth Proportional to 103.97, 143.44 and 74.81

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Solution

The fourth proportional to 103.97, 143.44 and 74.81 is: 103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 143.44 = 74.81 : x
  2. Step 2: Convert to fraction form
    103.97/143.44 = 74.81/x
  3. Step 3: Cross multiply
    103.97x = 143.44 × 74.81
  4. Step 4: Simplify right side
    103.97x = 10,730.92
  5. Step 5: Solve for x
    x = 10,730.92/103.97
  6. Step 6: Final answer
    x = 103.21

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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.