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Finding the Fourth Proportional to 13.66, 20.57 and 11.77

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Solution

The fourth proportional to 13.66, 20.57 and 11.77 is: 17.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.66 : 20.57 = 11.77 : x
  2. Step 2: Convert to fraction form
    13.66/20.57 = 11.77/x
  3. Step 3: Cross multiply
    13.66x = 20.57 × 11.77
  4. Step 4: Simplify right side
    13.66x = 242.00
  5. Step 5: Solve for x
    x = 242.00/13.66
  6. Step 6: Final answer
    x = 17.72

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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.