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Finding the Fourth Proportional to 33.91, 46.56 and 31.03

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Solution

The fourth proportional to 33.91, 46.56 and 31.03 is: 42.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.91 : 46.56 = 31.03 : x
  2. Step 2: Convert to fraction form
    33.91/46.56 = 31.03/x
  3. Step 3: Cross multiply
    33.91x = 46.56 × 31.03
  4. Step 4: Simplify right side
    33.91x = 1,444.76
  5. Step 5: Solve for x
    x = 1,444.76/33.91
  6. Step 6: Final answer
    x = 42.61

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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.