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Finding the Fourth Proportional to 34.54, 51.72 and 34.12

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Solution

The fourth proportional to 34.54, 51.72 and 34.12 is: 51.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.54 : 51.72 = 34.12 : x
  2. Step 2: Convert to fraction form
    34.54/51.72 = 34.12/x
  3. Step 3: Cross multiply
    34.54x = 51.72 × 34.12
  4. Step 4: Simplify right side
    34.54x = 1,764.69
  5. Step 5: Solve for x
    x = 1,764.69/34.54
  6. Step 6: Final answer
    x = 51.09

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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.