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Finding the Fourth Proportional to 69.98, 105.02 and 33.46

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Solution

The fourth proportional to 69.98, 105.02 and 33.46 is: 50.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.98 : 105.02 = 33.46 : x
  2. Step 2: Convert to fraction form
    69.98/105.02 = 33.46/x
  3. Step 3: Cross multiply
    69.98x = 105.02 × 33.46
  4. Step 4: Simplify right side
    69.98x = 3,513.79
  5. Step 5: Solve for x
    x = 3,513.79/69.98
  6. Step 6: Final answer
    x = 50.21

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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.