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Finding the Fourth Proportional to 33.42, 46.07 and 24.55

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Solution

The fourth proportional to 33.42, 46.07 and 24.55 is: 33.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.42 : 46.07 = 24.55 : x
  2. Step 2: Convert to fraction form
    33.42/46.07 = 24.55/x
  3. Step 3: Cross multiply
    33.42x = 46.07 × 24.55
  4. Step 4: Simplify right side
    33.42x = 1,130.96
  5. Step 5: Solve for x
    x = 1,130.96/33.42
  6. Step 6: Final answer
    x = 33.84

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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.