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Finding the Fourth Proportional to 17.29, 23.86 and 9.52

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Solution

The fourth proportional to 17.29, 23.86 and 9.52 is: 13.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.29 : 23.86 = 9.52 : x
  2. Step 2: Convert to fraction form
    17.29/23.86 = 9.52/x
  3. Step 3: Cross multiply
    17.29x = 23.86 × 9.52
  4. Step 4: Simplify right side
    17.29x = 227.21
  5. Step 5: Solve for x
    x = 227.21/17.29
  6. Step 6: Final answer
    x = 13.14

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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.