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Finding the Fourth Proportional to 20.15, 27.81 and 13.25

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Solution

The fourth proportional to 20.15, 27.81 and 13.25 is: 18.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.15 : 27.81 = 13.25 : x
  2. Step 2: Convert to fraction form
    20.15/27.81 = 13.25/x
  3. Step 3: Cross multiply
    20.15x = 27.81 × 13.25
  4. Step 4: Simplify right side
    20.15x = 368.48
  5. Step 5: Solve for x
    x = 368.48/20.15
  6. Step 6: Final answer
    x = 18.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.