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Finding the Fourth Proportional to 17.35, 26.02 and 9.22

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Solution

The fourth proportional to 17.35, 26.02 and 9.22 is: 13.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.35 : 26.02 = 9.22 : x
  2. Step 2: Convert to fraction form
    17.35/26.02 = 9.22/x
  3. Step 3: Cross multiply
    17.35x = 26.02 × 9.22
  4. Step 4: Simplify right side
    17.35x = 239.90
  5. Step 5: Solve for x
    x = 239.90/17.35
  6. Step 6: Final answer
    x = 13.83

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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.