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Finding the Fourth Proportional to 275.38, 413.07 and 83

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Solution

The fourth proportional to 275.38, 413.07 and 83 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.38 : 413.07 = 83 : x
  2. Step 2: Convert to fraction form
    275.38/413.07 = 83/x
  3. Step 3: Cross multiply
    275.38x = 413.07 × 83
  4. Step 4: Simplify right side
    275.38x = 34,284.81
  5. Step 5: Solve for x
    x = 34,284.81/275.38
  6. Step 6: Final answer
    x = 124.50

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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.