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Finding the Fourth Proportional to 34.30, 51.46 and 19.09

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Solution

The fourth proportional to 34.30, 51.46 and 19.09 is: 28.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.30 : 51.46 = 19.09 : x
  2. Step 2: Convert to fraction form
    34.30/51.46 = 19.09/x
  3. Step 3: Cross multiply
    34.30x = 51.46 × 19.09
  4. Step 4: Simplify right side
    34.30x = 982.33
  5. Step 5: Solve for x
    x = 982.33/34.30
  6. Step 6: Final answer
    x = 28.64

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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.