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Finding the Fourth Proportional to 33.54, 46.23 and 31.77

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Solution

The fourth proportional to 33.54, 46.23 and 31.77 is: 43.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.54 : 46.23 = 31.77 : x
  2. Step 2: Convert to fraction form
    33.54/46.23 = 31.77/x
  3. Step 3: Cross multiply
    33.54x = 46.23 × 31.77
  4. Step 4: Simplify right side
    33.54x = 1,468.90
  5. Step 5: Solve for x
    x = 1,468.90/33.54
  6. Step 6: Final answer
    x = 43.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.