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Finding the Fourth Proportional to 20.53, 30.77 and 14.09

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Solution

The fourth proportional to 20.53, 30.77 and 14.09 is: 21.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.53 : 30.77 = 14.09 : x
  2. Step 2: Convert to fraction form
    20.53/30.77 = 14.09/x
  3. Step 3: Cross multiply
    20.53x = 30.77 × 14.09
  4. Step 4: Simplify right side
    20.53x = 433.43
  5. Step 5: Solve for x
    x = 433.43/20.53
  6. Step 6: Final answer
    x = 21.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.