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Finding the Fourth Proportional to 33.06, 45.64 and 23.38

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Solution

The fourth proportional to 33.06, 45.64 and 23.38 is: 32.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.06 : 45.64 = 23.38 : x
  2. Step 2: Convert to fraction form
    33.06/45.64 = 23.38/x
  3. Step 3: Cross multiply
    33.06x = 45.64 × 23.38
  4. Step 4: Simplify right side
    33.06x = 1,067.06
  5. Step 5: Solve for x
    x = 1,067.06/33.06
  6. Step 6: Final answer
    x = 32.28

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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.