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Finding the Fourth Proportional to 275.49, 413.03 and 102.09

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Solution

The fourth proportional to 275.49, 413.03 and 102.09 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.49 : 413.03 = 102.09 : x
  2. Step 2: Convert to fraction form
    275.49/413.03 = 102.09/x
  3. Step 3: Cross multiply
    275.49x = 413.03 × 102.09
  4. Step 4: Simplify right side
    275.49x = 42,165.72
  5. Step 5: Solve for x
    x = 42,165.72/275.49
  6. Step 6: Final answer
    x = 153.06

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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.