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Finding the Fourth Proportional to 20.53, 28.34 and 14.39

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Solution

The fourth proportional to 20.53, 28.34 and 14.39 is: 19.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.53 : 28.34 = 14.39 : x
  2. Step 2: Convert to fraction form
    20.53/28.34 = 14.39/x
  3. Step 3: Cross multiply
    20.53x = 28.34 × 14.39
  4. Step 4: Simplify right side
    20.53x = 407.81
  5. Step 5: Solve for x
    x = 407.81/20.53
  6. Step 6: Final answer
    x = 19.86

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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.