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Finding the Fourth Proportional to 34.07, 51.24 and 28.68

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Solution

The fourth proportional to 34.07, 51.24 and 28.68 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.07 : 51.24 = 28.68 : x
  2. Step 2: Convert to fraction form
    34.07/51.24 = 28.68/x
  3. Step 3: Cross multiply
    34.07x = 51.24 × 28.68
  4. Step 4: Simplify right side
    34.07x = 1,469.56
  5. Step 5: Solve for x
    x = 1,469.56/34.07
  6. Step 6: Final answer
    x = 43.14

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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.