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Finding the Fourth Proportional to 275.47, 413.21 and 83.10

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Solution

The fourth proportional to 275.47, 413.21 and 83.10 is: 124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.47 : 413.21 = 83.10 : x
  2. Step 2: Convert to fraction form
    275.47/413.21 = 83.10/x
  3. Step 3: Cross multiply
    275.47x = 413.21 × 83.10
  4. Step 4: Simplify right side
    275.47x = 34,336.30
  5. Step 5: Solve for x
    x = 34,336.30/275.47
  6. Step 6: Final answer
    x = 124.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.