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Finding the Fourth Proportional to 275.57, 413.34 and 87.95

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Solution

The fourth proportional to 275.57, 413.34 and 87.95 is: 131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.57 : 413.34 = 87.95 : x
  2. Step 2: Convert to fraction form
    275.57/413.34 = 87.95/x
  3. Step 3: Cross multiply
    275.57x = 413.34 × 87.95
  4. Step 4: Simplify right side
    275.57x = 36,353.25
  5. Step 5: Solve for x
    x = 36,353.25/275.57
  6. Step 6: Final answer
    x = 131.92

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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.