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Finding the Fourth Proportional to 74.14, 111.22 and 30.85

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Solution

The fourth proportional to 74.14, 111.22 and 30.85 is: 46.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.14 : 111.22 = 30.85 : x
  2. Step 2: Convert to fraction form
    74.14/111.22 = 30.85/x
  3. Step 3: Cross multiply
    74.14x = 111.22 × 30.85
  4. Step 4: Simplify right side
    74.14x = 3,430.78
  5. Step 5: Solve for x
    x = 3,430.78/74.14
  6. Step 6: Final answer
    x = 46.28

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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.