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Finding the Fourth Proportional to 275.77, 413.55 and 83.35

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Solution

The fourth proportional to 275.77, 413.55 and 83.35 is: 124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.77 : 413.55 = 83.35 : x
  2. Step 2: Convert to fraction form
    275.77/413.55 = 83.35/x
  3. Step 3: Cross multiply
    275.77x = 413.55 × 83.35
  4. Step 4: Simplify right side
    275.77x = 34,469.39
  5. Step 5: Solve for x
    x = 34,469.39/275.77
  6. Step 6: Final answer
    x = 124.99

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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.