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Finding the Fourth Proportional to 275.79, 413.66 and 102.43

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Solution

The fourth proportional to 275.79, 413.66 and 102.43 is: 153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.79 : 413.66 = 102.43 : x
  2. Step 2: Convert to fraction form
    275.79/413.66 = 102.43/x
  3. Step 3: Cross multiply
    275.79x = 413.66 × 102.43
  4. Step 4: Simplify right side
    275.79x = 42,370.16
  5. Step 5: Solve for x
    x = 42,370.16/275.79
  6. Step 6: Final answer
    x = 153.63

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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.