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Finding the Fourth Proportional to 20.23, 30.31 and 19.70

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Solution

The fourth proportional to 20.23, 30.31 and 19.70 is: 29.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.23 : 30.31 = 19.70 : x
  2. Step 2: Convert to fraction form
    20.23/30.31 = 19.70/x
  3. Step 3: Cross multiply
    20.23x = 30.31 × 19.70
  4. Step 4: Simplify right side
    20.23x = 597.02
  5. Step 5: Solve for x
    x = 597.02/20.23
  6. Step 6: Final answer
    x = 29.51

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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.