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Finding the Fourth Proportional to 60.29, 83.22 and 41.84

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Solution

The fourth proportional to 60.29, 83.22 and 41.84 is: 57.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.29 : 83.22 = 41.84 : x
  2. Step 2: Convert to fraction form
    60.29/83.22 = 41.84/x
  3. Step 3: Cross multiply
    60.29x = 83.22 × 41.84
  4. Step 4: Simplify right side
    60.29x = 3,481.92
  5. Step 5: Solve for x
    x = 3,481.92/60.29
  6. Step 6: Final answer
    x = 57.75

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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.