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Finding the Fourth Proportional to 59.69, 82.24 and 41.23

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Solution

The fourth proportional to 59.69, 82.24 and 41.23 is: 56.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.69 : 82.24 = 41.23 : x
  2. Step 2: Convert to fraction form
    59.69/82.24 = 41.23/x
  3. Step 3: Cross multiply
    59.69x = 82.24 × 41.23
  4. Step 4: Simplify right side
    59.69x = 3,391.10
  5. Step 5: Solve for x
    x = 3,391.10/59.69
  6. Step 6: Final answer
    x = 56.81

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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.