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Finding the Fourth Proportional to 20.88, 28.80 and 20.16

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Solution

The fourth proportional to 20.88, 28.80 and 20.16 is: 27.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.88 : 28.80 = 20.16 : x
  2. Step 2: Convert to fraction form
    20.88/28.80 = 20.16/x
  3. Step 3: Cross multiply
    20.88x = 28.80 × 20.16
  4. Step 4: Simplify right side
    20.88x = 580.61
  5. Step 5: Solve for x
    x = 580.61/20.88
  6. Step 6: Final answer
    x = 27.81

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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.