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Finding the Fourth Proportional to 21.21, 31.77 and 20.17

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Solution

The fourth proportional to 21.21, 31.77 and 20.17 is: 30.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.21 : 31.77 = 20.17 : x
  2. Step 2: Convert to fraction form
    21.21/31.77 = 20.17/x
  3. Step 3: Cross multiply
    21.21x = 31.77 × 20.17
  4. Step 4: Simplify right side
    21.21x = 640.84
  5. Step 5: Solve for x
    x = 640.84/21.21
  6. Step 6: Final answer
    x = 30.22

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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.