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Finding the Fourth Proportional to 21.31, 31.98 and 20.23

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Solution

The fourth proportional to 21.31, 31.98 and 20.23 is: 30.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.31 : 31.98 = 20.23 : x
  2. Step 2: Convert to fraction form
    21.31/31.98 = 20.23/x
  3. Step 3: Cross multiply
    21.31x = 31.98 × 20.23
  4. Step 4: Simplify right side
    21.31x = 647.02
  5. Step 5: Solve for x
    x = 647.02/21.31
  6. Step 6: Final answer
    x = 30.36

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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.