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Finding the Fourth Proportional to 22.01, 32.96 and 16.33

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Solution

The fourth proportional to 22.01, 32.96 and 16.33 is: 24.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.01 : 32.96 = 16.33 : x
  2. Step 2: Convert to fraction form
    22.01/32.96 = 16.33/x
  3. Step 3: Cross multiply
    22.01x = 32.96 × 16.33
  4. Step 4: Simplify right side
    22.01x = 538.24
  5. Step 5: Solve for x
    x = 538.24/22.01
  6. Step 6: Final answer
    x = 24.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.