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Finding the Fourth Proportional to 20.02, 27.64 and 12.75

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Solution

The fourth proportional to 20.02, 27.64 and 12.75 is: 17.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.02 : 27.64 = 12.75 : x
  2. Step 2: Convert to fraction form
    20.02/27.64 = 12.75/x
  3. Step 3: Cross multiply
    20.02x = 27.64 × 12.75
  4. Step 4: Simplify right side
    20.02x = 352.41
  5. Step 5: Solve for x
    x = 352.41/20.02
  6. Step 6: Final answer
    x = 17.60

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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.