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Finding the Fourth Proportional to 39.52, 58.96 and 33.44

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Solution

The fourth proportional to 39.52, 58.96 and 33.44 is: 49.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.52 : 58.96 = 33.44 : x
  2. Step 2: Convert to fraction form
    39.52/58.96 = 33.44/x
  3. Step 3: Cross multiply
    39.52x = 58.96 × 33.44
  4. Step 4: Simplify right side
    39.52x = 1,971.62
  5. Step 5: Solve for x
    x = 1,971.62/39.52
  6. Step 6: Final answer
    x = 49.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.