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Finding the Fourth Proportional to 69.28, 103.88 and 30.74

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Solution

The fourth proportional to 69.28, 103.88 and 30.74 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.28 : 103.88 = 30.74 : x
  2. Step 2: Convert to fraction form
    69.28/103.88 = 30.74/x
  3. Step 3: Cross multiply
    69.28x = 103.88 × 30.74
  4. Step 4: Simplify right side
    69.28x = 3,192.83
  5. Step 5: Solve for x
    x = 3,192.83/69.28
  6. Step 6: Final answer
    x = 46.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.