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Finding the Fourth Proportional to 21.37, 31.89 and 21.25

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Solution

The fourth proportional to 21.37, 31.89 and 21.25 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.37 : 31.89 = 21.25 : x
  2. Step 2: Convert to fraction form
    21.37/31.89 = 21.25/x
  3. Step 3: Cross multiply
    21.37x = 31.89 × 21.25
  4. Step 4: Simplify right side
    21.37x = 677.66
  5. Step 5: Solve for x
    x = 677.66/21.37
  6. Step 6: Final answer
    x = 31.71

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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.