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Finding the Fourth Proportional to 17.22, 23.77 and 9.94

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Solution

The fourth proportional to 17.22, 23.77 and 9.94 is: 13.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.22 : 23.77 = 9.94 : x
  2. Step 2: Convert to fraction form
    17.22/23.77 = 9.94/x
  3. Step 3: Cross multiply
    17.22x = 23.77 × 9.94
  4. Step 4: Simplify right side
    17.22x = 236.22
  5. Step 5: Solve for x
    x = 236.22/17.22
  6. Step 6: Final answer
    x = 13.72

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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.