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Finding the Fourth Proportional to 53.96, 80.54 and 46.78

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Solution

The fourth proportional to 53.96, 80.54 and 46.78 is: 69.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.96 : 80.54 = 46.78 : x
  2. Step 2: Convert to fraction form
    53.96/80.54 = 46.78/x
  3. Step 3: Cross multiply
    53.96x = 80.54 × 46.78
  4. Step 4: Simplify right side
    53.96x = 3,767.85
  5. Step 5: Solve for x
    x = 3,767.85/53.96
  6. Step 6: Final answer
    x = 69.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.