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Finding the Fourth Proportional to 13.50, 20.32 and 11.61

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Solution

The fourth proportional to 13.50, 20.32 and 11.61 is: 17.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 20.32 = 11.61 : x
  2. Step 2: Convert to fraction form
    13.50/20.32 = 11.61/x
  3. Step 3: Cross multiply
    13.50x = 20.32 × 11.61
  4. Step 4: Simplify right side
    13.50x = 235.89
  5. Step 5: Solve for x
    x = 235.89/13.50
  6. Step 6: Final answer
    x = 17.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.