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Finding the Fourth Proportional to 17.66, 24.28 and 13.54

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Solution

The fourth proportional to 17.66, 24.28 and 13.54 is: 18.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 24.28 = 13.54 : x
  2. Step 2: Convert to fraction form
    17.66/24.28 = 13.54/x
  3. Step 3: Cross multiply
    17.66x = 24.28 × 13.54
  4. Step 4: Simplify right side
    17.66x = 328.75
  5. Step 5: Solve for x
    x = 328.75/17.66
  6. Step 6: Final answer
    x = 18.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.