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Finding the Fourth Proportional to 275.54, 413.50 and 102.21

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Solution

The fourth proportional to 275.54, 413.50 and 102.21 is: 153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.54 : 413.50 = 102.21 : x
  2. Step 2: Convert to fraction form
    275.54/413.50 = 102.21/x
  3. Step 3: Cross multiply
    275.54x = 413.50 × 102.21
  4. Step 4: Simplify right side
    275.54x = 42,265.42
  5. Step 5: Solve for x
    x = 42,265.42/275.54
  6. Step 6: Final answer
    x = 153.39

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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.