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Finding the Fourth Proportional to 20.25, 27.97 and 13.77

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Solution

The fourth proportional to 20.25, 27.97 and 13.77 is: 19.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 27.97 = 13.77 : x
  2. Step 2: Convert to fraction form
    20.25/27.97 = 13.77/x
  3. Step 3: Cross multiply
    20.25x = 27.97 × 13.77
  4. Step 4: Simplify right side
    20.25x = 385.11
  5. Step 5: Solve for x
    x = 385.11/20.25
  6. Step 6: Final answer
    x = 19.02

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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.