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Finding the Fourth Proportional to 33.42, 46.12 and 24.25

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Solution

The fourth proportional to 33.42, 46.12 and 24.25 is: 33.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.42 : 46.12 = 24.25 : x
  2. Step 2: Convert to fraction form
    33.42/46.12 = 24.25/x
  3. Step 3: Cross multiply
    33.42x = 46.12 × 24.25
  4. Step 4: Simplify right side
    33.42x = 1,118.41
  5. Step 5: Solve for x
    x = 1,118.41/33.42
  6. Step 6: Final answer
    x = 33.47

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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.