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Finding the Fourth Proportional to 22.37, 30.84 and 16.23

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Solution

The fourth proportional to 22.37, 30.84 and 16.23 is: 22.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.37 : 30.84 = 16.23 : x
  2. Step 2: Convert to fraction form
    22.37/30.84 = 16.23/x
  3. Step 3: Cross multiply
    22.37x = 30.84 × 16.23
  4. Step 4: Simplify right side
    22.37x = 500.56
  5. Step 5: Solve for x
    x = 500.56/22.37
  6. Step 6: Final answer
    x = 22.38

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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.