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Finding the Fourth Proportional to 275.94, 413.78 and 102.56

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Solution

The fourth proportional to 275.94, 413.78 and 102.56 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 413.78 = 102.56 : x
  2. Step 2: Convert to fraction form
    275.94/413.78 = 102.56/x
  3. Step 3: Cross multiply
    275.94x = 413.78 × 102.56
  4. Step 4: Simplify right side
    275.94x = 42,434.70
  5. Step 5: Solve for x
    x = 42,434.70/275.94
  6. Step 6: Final answer
    x = 153.78

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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.