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Finding the Fourth Proportional to 32.01, 44.22 and 21.12

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Solution

The fourth proportional to 32.01, 44.22 and 21.12 is: 29.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.01 : 44.22 = 21.12 : x
  2. Step 2: Convert to fraction form
    32.01/44.22 = 21.12/x
  3. Step 3: Cross multiply
    32.01x = 44.22 × 21.12
  4. Step 4: Simplify right side
    32.01x = 933.93
  5. Step 5: Solve for x
    x = 933.93/32.01
  6. Step 6: Final answer
    x = 29.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.