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Finding the Fourth Proportional to 44.80, 61.76 and 33.88

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Solution

The fourth proportional to 44.80, 61.76 and 33.88 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.80 : 61.76 = 33.88 : x
  2. Step 2: Convert to fraction form
    44.80/61.76 = 33.88/x
  3. Step 3: Cross multiply
    44.80x = 61.76 × 33.88
  4. Step 4: Simplify right side
    44.80x = 2,092.43
  5. Step 5: Solve for x
    x = 2,092.43/44.80
  6. Step 6: Final answer
    x = 46.71

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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.