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Finding the Fourth Proportional to 13.76, 20.49 and 13.66

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Solution

The fourth proportional to 13.76, 20.49 and 13.66 is: 20.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 20.49 = 13.66 : x
  2. Step 2: Convert to fraction form
    13.76/20.49 = 13.66/x
  3. Step 3: Cross multiply
    13.76x = 20.49 × 13.66
  4. Step 4: Simplify right side
    13.76x = 279.89
  5. Step 5: Solve for x
    x = 279.89/13.76
  6. Step 6: Final answer
    x = 20.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.