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Finding the Fourth Proportional to 275.76, 413.63 and 102.46

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Solution

The fourth proportional to 275.76, 413.63 and 102.46 is: 153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.76 : 413.63 = 102.46 : x
  2. Step 2: Convert to fraction form
    275.76/413.63 = 102.46/x
  3. Step 3: Cross multiply
    275.76x = 413.63 × 102.46
  4. Step 4: Simplify right side
    275.76x = 42,380.53
  5. Step 5: Solve for x
    x = 42,380.53/275.76
  6. Step 6: Final answer
    x = 153.69

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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.