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Finding the Fourth Proportional to 275.84, 413.74 and 93.20

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Solution

The fourth proportional to 275.84, 413.74 and 93.20 is: 139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 413.74 = 93.20 : x
  2. Step 2: Convert to fraction form
    275.84/413.74 = 93.20/x
  3. Step 3: Cross multiply
    275.84x = 413.74 × 93.20
  4. Step 4: Simplify right side
    275.84x = 38,560.57
  5. Step 5: Solve for x
    x = 38,560.57/275.84
  6. Step 6: Final answer
    x = 139.79

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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.