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Finding the Fourth Proportional to 58.22, 80.26 and 41.82

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Solution

The fourth proportional to 58.22, 80.26 and 41.82 is: 57.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 80.26 = 41.82 : x
  2. Step 2: Convert to fraction form
    58.22/80.26 = 41.82/x
  3. Step 3: Cross multiply
    58.22x = 80.26 × 41.82
  4. Step 4: Simplify right side
    58.22x = 3,355.86
  5. Step 5: Solve for x
    x = 3,355.86/58.22
  6. Step 6: Final answer
    x = 57.65

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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.