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Finding the Fourth Proportional to 21.21, 31.80 and 13.59

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Solution

The fourth proportional to 21.21, 31.80 and 13.59 is: 20.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.21 : 31.80 = 13.59 : x
  2. Step 2: Convert to fraction form
    21.21/31.80 = 13.59/x
  3. Step 3: Cross multiply
    21.21x = 31.80 × 13.59
  4. Step 4: Simplify right side
    21.21x = 432.16
  5. Step 5: Solve for x
    x = 432.16/21.21
  6. Step 6: Final answer
    x = 20.38

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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.