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Finding the Fourth Proportional to 275.55, 413.06 and 102.17

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Solution

The fourth proportional to 275.55, 413.06 and 102.17 is: 153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.55 : 413.06 = 102.17 : x
  2. Step 2: Convert to fraction form
    275.55/413.06 = 102.17/x
  3. Step 3: Cross multiply
    275.55x = 413.06 × 102.17
  4. Step 4: Simplify right side
    275.55x = 42,201.83
  5. Step 5: Solve for x
    x = 42,201.83/275.55
  6. Step 6: Final answer
    x = 153.15

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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.