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Finding the Fourth Proportional to 53.92, 80.86 and 36.91

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Solution

The fourth proportional to 53.92, 80.86 and 36.91 is: 55.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.92 : 80.86 = 36.91 : x
  2. Step 2: Convert to fraction form
    53.92/80.86 = 36.91/x
  3. Step 3: Cross multiply
    53.92x = 80.86 × 36.91
  4. Step 4: Simplify right side
    53.92x = 2,984.54
  5. Step 5: Solve for x
    x = 2,984.54/53.92
  6. Step 6: Final answer
    x = 55.35

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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.