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Finding the Fourth Proportional to 21.35, 31.97 and 9.92

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Solution

The fourth proportional to 21.35, 31.97 and 9.92 is: 14.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.35 : 31.97 = 9.92 : x
  2. Step 2: Convert to fraction form
    21.35/31.97 = 9.92/x
  3. Step 3: Cross multiply
    21.35x = 31.97 × 9.92
  4. Step 4: Simplify right side
    21.35x = 316.93
  5. Step 5: Solve for x
    x = 316.93/21.35
  6. Step 6: Final answer
    x = 14.85

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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.