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Finding the Fourth Proportional to 35.96, 49.42 and 33.56

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Solution

The fourth proportional to 35.96, 49.42 and 33.56 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.96 : 49.42 = 33.56 : x
  2. Step 2: Convert to fraction form
    35.96/49.42 = 33.56/x
  3. Step 3: Cross multiply
    35.96x = 49.42 × 33.56
  4. Step 4: Simplify right side
    35.96x = 1,658.54
  5. Step 5: Solve for x
    x = 1,658.54/35.96
  6. Step 6: Final answer
    x = 46.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.