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Finding the Fourth Proportional to 20.71, 28.60 and 14.16

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Solution

The fourth proportional to 20.71, 28.60 and 14.16 is: 19.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.71 : 28.60 = 14.16 : x
  2. Step 2: Convert to fraction form
    20.71/28.60 = 14.16/x
  3. Step 3: Cross multiply
    20.71x = 28.60 × 14.16
  4. Step 4: Simplify right side
    20.71x = 405.05
  5. Step 5: Solve for x
    x = 405.05/20.71
  6. Step 6: Final answer
    x = 19.56

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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.