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Finding the Fourth Proportional to 20.25, 30.53 and 20.19

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Solution

The fourth proportional to 20.25, 30.53 and 20.19 is: 30.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 30.53 = 20.19 : x
  2. Step 2: Convert to fraction form
    20.25/30.53 = 20.19/x
  3. Step 3: Cross multiply
    20.25x = 30.53 × 20.19
  4. Step 4: Simplify right side
    20.25x = 616.30
  5. Step 5: Solve for x
    x = 616.30/20.25
  6. Step 6: Final answer
    x = 30.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.