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Finding the Fourth Proportional to 275.87, 413.68 and 104.75

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Solution

The fourth proportional to 275.87, 413.68 and 104.75 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.87 : 413.68 = 104.75 : x
  2. Step 2: Convert to fraction form
    275.87/413.68 = 104.75/x
  3. Step 3: Cross multiply
    275.87x = 413.68 × 104.75
  4. Step 4: Simplify right side
    275.87x = 43,332.98
  5. Step 5: Solve for x
    x = 43,332.98/275.87
  6. Step 6: Final answer
    x = 157.08

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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.