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Finding the Fourth Proportional to 41.55, 62.34 and 33.02

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Solution

The fourth proportional to 41.55, 62.34 and 33.02 is: 49.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.55 : 62.34 = 33.02 : x
  2. Step 2: Convert to fraction form
    41.55/62.34 = 33.02/x
  3. Step 3: Cross multiply
    41.55x = 62.34 × 33.02
  4. Step 4: Simplify right side
    41.55x = 2,058.27
  5. Step 5: Solve for x
    x = 2,058.27/41.55
  6. Step 6: Final answer
    x = 49.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.