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Finding the Fourth Proportional to 13.88, 20.77 and 13.07

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Solution

The fourth proportional to 13.88, 20.77 and 13.07 is: 19.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.88 : 20.77 = 13.07 : x
  2. Step 2: Convert to fraction form
    13.88/20.77 = 13.07/x
  3. Step 3: Cross multiply
    13.88x = 20.77 × 13.07
  4. Step 4: Simplify right side
    13.88x = 271.46
  5. Step 5: Solve for x
    x = 271.46/13.88
  6. Step 6: Final answer
    x = 19.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.