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Finding the Fourth Proportional to 33.69, 46.09 and 31.26

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Solution

The fourth proportional to 33.69, 46.09 and 31.26 is: 42.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.69 : 46.09 = 31.26 : x
  2. Step 2: Convert to fraction form
    33.69/46.09 = 31.26/x
  3. Step 3: Cross multiply
    33.69x = 46.09 × 31.26
  4. Step 4: Simplify right side
    33.69x = 1,440.77
  5. Step 5: Solve for x
    x = 1,440.77/33.69
  6. Step 6: Final answer
    x = 42.77

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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.