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Finding the Fourth Proportional to 275.93, 413.92 and 102.70

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Solution

The fourth proportional to 275.93, 413.92 and 102.70 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.93 : 413.92 = 102.70 : x
  2. Step 2: Convert to fraction form
    275.93/413.92 = 102.70/x
  3. Step 3: Cross multiply
    275.93x = 413.92 × 102.70
  4. Step 4: Simplify right side
    275.93x = 42,509.58
  5. Step 5: Solve for x
    x = 42,509.58/275.93
  6. Step 6: Final answer
    x = 154.06

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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.