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Finding the Fourth Proportional to 20.26, 30.27 and 14.24

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Solution

The fourth proportional to 20.26, 30.27 and 14.24 is: 21.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.26 : 30.27 = 14.24 : x
  2. Step 2: Convert to fraction form
    20.26/30.27 = 14.24/x
  3. Step 3: Cross multiply
    20.26x = 30.27 × 14.24
  4. Step 4: Simplify right side
    20.26x = 431.04
  5. Step 5: Solve for x
    x = 431.04/20.26
  6. Step 6: Final answer
    x = 21.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.