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Finding the Fourth Proportional to 21.90, 30.23 and 16.45

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Solution

The fourth proportional to 21.90, 30.23 and 16.45 is: 22.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.90 : 30.23 = 16.45 : x
  2. Step 2: Convert to fraction form
    21.90/30.23 = 16.45/x
  3. Step 3: Cross multiply
    21.90x = 30.23 × 16.45
  4. Step 4: Simplify right side
    21.90x = 497.20
  5. Step 5: Solve for x
    x = 497.20/21.90
  6. Step 6: Final answer
    x = 22.71

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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.