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Finding the Fourth Proportional to 275.42, 413.08 and 83

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Solution

The fourth proportional to 275.42, 413.08 and 83 is: 124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 413.08 = 83 : x
  2. Step 2: Convert to fraction form
    275.42/413.08 = 83/x
  3. Step 3: Cross multiply
    275.42x = 413.08 × 83
  4. Step 4: Simplify right side
    275.42x = 34,285.64
  5. Step 5: Solve for x
    x = 34,285.64/275.42
  6. Step 6: Final answer
    x = 124.48

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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.