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Finding the Fourth Proportional to 12.55, 17.34 and 11.47

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Solution

The fourth proportional to 12.55, 17.34 and 11.47 is: 15.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.55 : 17.34 = 11.47 : x
  2. Step 2: Convert to fraction form
    12.55/17.34 = 11.47/x
  3. Step 3: Cross multiply
    12.55x = 17.34 × 11.47
  4. Step 4: Simplify right side
    12.55x = 198.89
  5. Step 5: Solve for x
    x = 198.89/12.55
  6. Step 6: Final answer
    x = 15.85

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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.