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Finding the Fourth Proportional to 69.53, 104.22 and 30.98

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Solution

The fourth proportional to 69.53, 104.22 and 30.98 is: 46.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.53 : 104.22 = 30.98 : x
  2. Step 2: Convert to fraction form
    69.53/104.22 = 30.98/x
  3. Step 3: Cross multiply
    69.53x = 104.22 × 30.98
  4. Step 4: Simplify right side
    69.53x = 3,228.21
  5. Step 5: Solve for x
    x = 3,228.21/69.53
  6. Step 6: Final answer
    x = 46.43

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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.