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Finding the Fourth Proportional to 21.63, 29.84 and 16.16

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Solution

The fourth proportional to 21.63, 29.84 and 16.16 is: 22.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.63 : 29.84 = 16.16 : x
  2. Step 2: Convert to fraction form
    21.63/29.84 = 16.16/x
  3. Step 3: Cross multiply
    21.63x = 29.84 × 16.16
  4. Step 4: Simplify right side
    21.63x = 482.21
  5. Step 5: Solve for x
    x = 482.21/21.63
  6. Step 6: Final answer
    x = 22.29

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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.