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Finding the Fourth Proportional to 275.34, 413.02 and 82.97

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Solution

The fourth proportional to 275.34, 413.02 and 82.97 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 413.02 = 82.97 : x
  2. Step 2: Convert to fraction form
    275.34/413.02 = 82.97/x
  3. Step 3: Cross multiply
    275.34x = 413.02 × 82.97
  4. Step 4: Simplify right side
    275.34x = 34,267.39
  5. Step 5: Solve for x
    x = 34,267.39/275.34
  6. Step 6: Final answer
    x = 124.45

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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.