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Finding the Fourth Proportional to 58.54, 80.74 and 41.96

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Solution

The fourth proportional to 58.54, 80.74 and 41.96 is: 57.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 80.74 = 41.96 : x
  2. Step 2: Convert to fraction form
    58.54/80.74 = 41.96/x
  3. Step 3: Cross multiply
    58.54x = 80.74 × 41.96
  4. Step 4: Simplify right side
    58.54x = 3,387.85
  5. Step 5: Solve for x
    x = 3,387.85/58.54
  6. Step 6: Final answer
    x = 57.87

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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.