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Finding the Fourth Proportional to 69.98, 105.08 and 49.49

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Solution

The fourth proportional to 69.98, 105.08 and 49.49 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.98 : 105.08 = 49.49 : x
  2. Step 2: Convert to fraction form
    69.98/105.08 = 49.49/x
  3. Step 3: Cross multiply
    69.98x = 105.08 × 49.49
  4. Step 4: Simplify right side
    69.98x = 5,199.64
  5. Step 5: Solve for x
    x = 5,199.64/69.98
  6. Step 6: Final answer
    x = 74.31

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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.