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Finding the Fourth Proportional to 33.12, 45.74 and 24.54

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Solution

The fourth proportional to 33.12, 45.74 and 24.54 is: 33.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 45.74 = 24.54 : x
  2. Step 2: Convert to fraction form
    33.12/45.74 = 24.54/x
  3. Step 3: Cross multiply
    33.12x = 45.74 × 24.54
  4. Step 4: Simplify right side
    33.12x = 1,122.46
  5. Step 5: Solve for x
    x = 1,122.46/33.12
  6. Step 6: Final answer
    x = 33.89

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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.