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Finding the Fourth Proportional to 275.37, 413.05 and 83.01

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Solution

The fourth proportional to 275.37, 413.05 and 83.01 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 413.05 = 83.01 : x
  2. Step 2: Convert to fraction form
    275.37/413.05 = 83.01/x
  3. Step 3: Cross multiply
    275.37x = 413.05 × 83.01
  4. Step 4: Simplify right side
    275.37x = 34,287.28
  5. Step 5: Solve for x
    x = 34,287.28/275.37
  6. Step 6: Final answer
    x = 124.51

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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.