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Finding the Fourth Proportional to 69.28, 104.06 and 42.28

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Solution

The fourth proportional to 69.28, 104.06 and 42.28 is: 63.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.28 : 104.06 = 42.28 : x
  2. Step 2: Convert to fraction form
    69.28/104.06 = 42.28/x
  3. Step 3: Cross multiply
    69.28x = 104.06 × 42.28
  4. Step 4: Simplify right side
    69.28x = 4,399.66
  5. Step 5: Solve for x
    x = 4,399.66/69.28
  6. Step 6: Final answer
    x = 63.51

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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.