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Finding the Fourth Proportional to 20.13, 27.78 and 15.27

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Solution

The fourth proportional to 20.13, 27.78 and 15.27 is: 21.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.13 : 27.78 = 15.27 : x
  2. Step 2: Convert to fraction form
    20.13/27.78 = 15.27/x
  3. Step 3: Cross multiply
    20.13x = 27.78 × 15.27
  4. Step 4: Simplify right side
    20.13x = 424.04
  5. Step 5: Solve for x
    x = 424.04/20.13
  6. Step 6: Final answer
    x = 21.07

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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.