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Finding the Fourth Proportional to 32.97, 45.51 and 22.04

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Solution

The fourth proportional to 32.97, 45.51 and 22.04 is: 30.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.97 : 45.51 = 22.04 : x
  2. Step 2: Convert to fraction form
    32.97/45.51 = 22.04/x
  3. Step 3: Cross multiply
    32.97x = 45.51 × 22.04
  4. Step 4: Simplify right side
    32.97x = 1,003.02
  5. Step 5: Solve for x
    x = 1,003.02/32.97
  6. Step 6: Final answer
    x = 30.42

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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.