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Finding the Fourth Proportional to 21.21, 29.31 and 16.02

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Solution

The fourth proportional to 21.21, 29.31 and 16.02 is: 22.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.21 : 29.31 = 16.02 : x
  2. Step 2: Convert to fraction form
    21.21/29.31 = 16.02/x
  3. Step 3: Cross multiply
    21.21x = 29.31 × 16.02
  4. Step 4: Simplify right side
    21.21x = 469.42
  5. Step 5: Solve for x
    x = 469.42/21.21
  6. Step 6: Final answer
    x = 22.13

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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.