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Finding the Fourth Proportional to 15.82, 21.83 and 9.26

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Solution

The fourth proportional to 15.82, 21.83 and 9.26 is: 12.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.82 : 21.83 = 9.26 : x
  2. Step 2: Convert to fraction form
    15.82/21.83 = 9.26/x
  3. Step 3: Cross multiply
    15.82x = 21.83 × 9.26
  4. Step 4: Simplify right side
    15.82x = 202.13
  5. Step 5: Solve for x
    x = 202.13/15.82
  6. Step 6: Final answer
    x = 12.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.