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Finding the Fourth Proportional to 275.46, 413.22 and 83.04

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Solution

The fourth proportional to 275.46, 413.22 and 83.04 is: 124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 413.22 = 83.04 : x
  2. Step 2: Convert to fraction form
    275.46/413.22 = 83.04/x
  3. Step 3: Cross multiply
    275.46x = 413.22 × 83.04
  4. Step 4: Simplify right side
    275.46x = 34,313.79
  5. Step 5: Solve for x
    x = 34,313.79/275.46
  6. Step 6: Final answer
    x = 124.57

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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.