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Finding the Fourth Proportional to 21.70, 29.86 and 16.23

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Solution

The fourth proportional to 21.70, 29.86 and 16.23 is: 22.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.70 : 29.86 = 16.23 : x
  2. Step 2: Convert to fraction form
    21.70/29.86 = 16.23/x
  3. Step 3: Cross multiply
    21.70x = 29.86 × 16.23
  4. Step 4: Simplify right side
    21.70x = 484.63
  5. Step 5: Solve for x
    x = 484.63/21.70
  6. Step 6: Final answer
    x = 22.34

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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.