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Finding the Fourth Proportional to 74.33, 110.97 and 69.98

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Solution

The fourth proportional to 74.33, 110.97 and 69.98 is: 104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.33 : 110.97 = 69.98 : x
  2. Step 2: Convert to fraction form
    74.33/110.97 = 69.98/x
  3. Step 3: Cross multiply
    74.33x = 110.97 × 69.98
  4. Step 4: Simplify right side
    74.33x = 7,765.68
  5. Step 5: Solve for x
    x = 7,765.68/74.33
  6. Step 6: Final answer
    x = 104.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.