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Finding the Fourth Proportional to 275.61, 413.38 and 83.23

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Solution

The fourth proportional to 275.61, 413.38 and 83.23 is: 124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.61 : 413.38 = 83.23 : x
  2. Step 2: Convert to fraction form
    275.61/413.38 = 83.23/x
  3. Step 3: Cross multiply
    275.61x = 413.38 × 83.23
  4. Step 4: Simplify right side
    275.61x = 34,405.62
  5. Step 5: Solve for x
    x = 34,405.62/275.61
  6. Step 6: Final answer
    x = 124.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.