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Finding the Fourth Proportional to 33.05, 49.77 and 31.02

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Solution

The fourth proportional to 33.05, 49.77 and 31.02 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 49.77 = 31.02 : x
  2. Step 2: Convert to fraction form
    33.05/49.77 = 31.02/x
  3. Step 3: Cross multiply
    33.05x = 49.77 × 31.02
  4. Step 4: Simplify right side
    33.05x = 1,543.87
  5. Step 5: Solve for x
    x = 1,543.87/33.05
  6. Step 6: Final answer
    x = 46.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.