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Finding the Fourth Proportional to 34.30, 47.09 and 29.69

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Solution

The fourth proportional to 34.30, 47.09 and 29.69 is: 40.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.30 : 47.09 = 29.69 : x
  2. Step 2: Convert to fraction form
    34.30/47.09 = 29.69/x
  3. Step 3: Cross multiply
    34.30x = 47.09 × 29.69
  4. Step 4: Simplify right side
    34.30x = 1,398.10
  5. Step 5: Solve for x
    x = 1,398.10/34.30
  6. Step 6: Final answer
    x = 40.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.