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Finding the Fourth Proportional to 275.70, 413.49 and 83.22

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Solution

The fourth proportional to 275.70, 413.49 and 83.22 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 413.49 = 83.22 : x
  2. Step 2: Convert to fraction form
    275.70/413.49 = 83.22/x
  3. Step 3: Cross multiply
    275.70x = 413.49 × 83.22
  4. Step 4: Simplify right side
    275.70x = 34,410.64
  5. Step 5: Solve for x
    x = 34,410.64/275.70
  6. Step 6: Final answer
    x = 124.81

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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.