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Finding the Fourth Proportional to 275.78, 413.83 and 102.56

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Solution

The fourth proportional to 275.78, 413.83 and 102.56 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 413.83 = 102.56 : x
  2. Step 2: Convert to fraction form
    275.78/413.83 = 102.56/x
  3. Step 3: Cross multiply
    275.78x = 413.83 × 102.56
  4. Step 4: Simplify right side
    275.78x = 42,443.18
  5. Step 5: Solve for x
    x = 42,443.18/275.78
  6. Step 6: Final answer
    x = 153.90

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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.