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Finding the Fourth Proportional to 17.67, 24.37 and 11.53

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Solution

The fourth proportional to 17.67, 24.37 and 11.53 is: 15.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.67 : 24.37 = 11.53 : x
  2. Step 2: Convert to fraction form
    17.67/24.37 = 11.53/x
  3. Step 3: Cross multiply
    17.67x = 24.37 × 11.53
  4. Step 4: Simplify right side
    17.67x = 280.99
  5. Step 5: Solve for x
    x = 280.99/17.67
  6. Step 6: Final answer
    x = 15.90

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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.