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Finding the Fourth Proportional to 20.26, 27.88 and 16.80

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Solution

The fourth proportional to 20.26, 27.88 and 16.80 is: 23.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.26 : 27.88 = 16.80 : x
  2. Step 2: Convert to fraction form
    20.26/27.88 = 16.80/x
  3. Step 3: Cross multiply
    20.26x = 27.88 × 16.80
  4. Step 4: Simplify right side
    20.26x = 468.24
  5. Step 5: Solve for x
    x = 468.24/20.26
  6. Step 6: Final answer
    x = 23.11

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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.