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Finding the Fourth Proportional to 17.80, 24.56 and 9.61

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Solution

The fourth proportional to 17.80, 24.56 and 9.61 is: 13.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.80 : 24.56 = 9.61 : x
  2. Step 2: Convert to fraction form
    17.80/24.56 = 9.61/x
  3. Step 3: Cross multiply
    17.80x = 24.56 × 9.61
  4. Step 4: Simplify right side
    17.80x = 236.05
  5. Step 5: Solve for x
    x = 236.05/17.80
  6. Step 6: Final answer
    x = 13.26

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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.