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Finding the Fourth Proportional to 33.46, 49.96 and 30.02

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Solution

The fourth proportional to 33.46, 49.96 and 30.02 is: 44.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.46 : 49.96 = 30.02 : x
  2. Step 2: Convert to fraction form
    33.46/49.96 = 30.02/x
  3. Step 3: Cross multiply
    33.46x = 49.96 × 30.02
  4. Step 4: Simplify right side
    33.46x = 1,499.80
  5. Step 5: Solve for x
    x = 1,499.80/33.46
  6. Step 6: Final answer
    x = 44.82

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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.