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Finding the Fourth Proportional to 21.11, 31.84 and 21.11

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Solution

The fourth proportional to 21.11, 31.84 and 21.11 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.11 : 31.84 = 21.11 : x
  2. Step 2: Convert to fraction form
    21.11/31.84 = 21.11/x
  3. Step 3: Cross multiply
    21.11x = 31.84 × 21.11
  4. Step 4: Simplify right side
    21.11x = 671.93
  5. Step 5: Solve for x
    x = 671.93/21.11
  6. Step 6: Final answer
    x = 31.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.