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Finding the Fourth Proportional to 21.42, 32.09 and 13.80

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Solution

The fourth proportional to 21.42, 32.09 and 13.80 is: 20.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.42 : 32.09 = 13.80 : x
  2. Step 2: Convert to fraction form
    21.42/32.09 = 13.80/x
  3. Step 3: Cross multiply
    21.42x = 32.09 × 13.80
  4. Step 4: Simplify right side
    21.42x = 442.65
  5. Step 5: Solve for x
    x = 442.65/21.42
  6. Step 6: Final answer
    x = 20.66

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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.