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Finding the Fourth Proportional to 34.59, 51.92 and 13.22

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Solution

The fourth proportional to 34.59, 51.92 and 13.22 is: 19.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.59 : 51.92 = 13.22 : x
  2. Step 2: Convert to fraction form
    34.59/51.92 = 13.22/x
  3. Step 3: Cross multiply
    34.59x = 51.92 × 13.22
  4. Step 4: Simplify right side
    34.59x = 686.06
  5. Step 5: Solve for x
    x = 686.06/34.59
  6. Step 6: Final answer
    x = 19.83

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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.