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Finding the Fourth Proportional to 74.67, 111.97 and 34.12

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Solution

The fourth proportional to 74.67, 111.97 and 34.12 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 111.97 = 34.12 : x
  2. Step 2: Convert to fraction form
    74.67/111.97 = 34.12/x
  3. Step 3: Cross multiply
    74.67x = 111.97 × 34.12
  4. Step 4: Simplify right side
    74.67x = 3,820.42
  5. Step 5: Solve for x
    x = 3,820.42/74.67
  6. Step 6: Final answer
    x = 51.16

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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.