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Finding the Fourth Proportional to 17.82, 26.82 and 15.30

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Solution

The fourth proportional to 17.82, 26.82 and 15.30 is: 23.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 26.82 = 15.30 : x
  2. Step 2: Convert to fraction form
    17.82/26.82 = 15.30/x
  3. Step 3: Cross multiply
    17.82x = 26.82 × 15.30
  4. Step 4: Simplify right side
    17.82x = 410.35
  5. Step 5: Solve for x
    x = 410.35/17.82
  6. Step 6: Final answer
    x = 23.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.