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Finding the Fourth Proportional to 21.45, 32.17 and 13.89

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Solution

The fourth proportional to 21.45, 32.17 and 13.89 is: 20.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.45 : 32.17 = 13.89 : x
  2. Step 2: Convert to fraction form
    21.45/32.17 = 13.89/x
  3. Step 3: Cross multiply
    21.45x = 32.17 × 13.89
  4. Step 4: Simplify right side
    21.45x = 446.65
  5. Step 5: Solve for x
    x = 446.65/21.45
  6. Step 6: Final answer
    x = 20.83

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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.