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Finding the Fourth Proportional to 33.01, 49.51 and 31.12

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Solution

The fourth proportional to 33.01, 49.51 and 31.12 is: 46.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.01 : 49.51 = 31.12 : x
  2. Step 2: Convert to fraction form
    33.01/49.51 = 31.12/x
  3. Step 3: Cross multiply
    33.01x = 49.51 × 31.12
  4. Step 4: Simplify right side
    33.01x = 1,540.67
  5. Step 5: Solve for x
    x = 1,540.67/33.01
  6. Step 6: Final answer
    x = 46.68

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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.