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Finding the Fourth Proportional to 34.05, 51.02 and 20.50

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Solution

The fourth proportional to 34.05, 51.02 and 20.50 is: 30.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.05 : 51.02 = 20.50 : x
  2. Step 2: Convert to fraction form
    34.05/51.02 = 20.50/x
  3. Step 3: Cross multiply
    34.05x = 51.02 × 20.50
  4. Step 4: Simplify right side
    34.05x = 1,045.66
  5. Step 5: Solve for x
    x = 1,045.66/34.05
  6. Step 6: Final answer
    x = 30.71

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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.