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Finding the Fourth Proportional to 74.92, 103.44 and 69.74

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Solution

The fourth proportional to 74.92, 103.44 and 69.74 is: 96.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.92 : 103.44 = 69.74 : x
  2. Step 2: Convert to fraction form
    74.92/103.44 = 69.74/x
  3. Step 3: Cross multiply
    74.92x = 103.44 × 69.74
  4. Step 4: Simplify right side
    74.92x = 7,213.91
  5. Step 5: Solve for x
    x = 7,213.91/74.92
  6. Step 6: Final answer
    x = 96.29

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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.