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Finding the Fourth Proportional to 23.22, 32.07 and 16.34

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Solution

The fourth proportional to 23.22, 32.07 and 16.34 is: 22.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.22 : 32.07 = 16.34 : x
  2. Step 2: Convert to fraction form
    23.22/32.07 = 16.34/x
  3. Step 3: Cross multiply
    23.22x = 32.07 × 16.34
  4. Step 4: Simplify right side
    23.22x = 523.86
  5. Step 5: Solve for x
    x = 523.86/23.22
  6. Step 6: Final answer
    x = 22.56

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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.