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Finding the Fourth Proportional to 21.51, 32.02 and 21.11

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Solution

The fourth proportional to 21.51, 32.02 and 21.11 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.51 : 32.02 = 21.11 : x
  2. Step 2: Convert to fraction form
    21.51/32.02 = 21.11/x
  3. Step 3: Cross multiply
    21.51x = 32.02 × 21.11
  4. Step 4: Simplify right side
    21.51x = 675.73
  5. Step 5: Solve for x
    x = 675.73/21.51
  6. Step 6: Final answer
    x = 31.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.