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Finding the Fourth Proportional to 275.48, 413.08 and 92.81

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Solution

The fourth proportional to 275.48, 413.08 and 92.81 is: 139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.48 : 413.08 = 92.81 : x
  2. Step 2: Convert to fraction form
    275.48/413.08 = 92.81/x
  3. Step 3: Cross multiply
    275.48x = 413.08 × 92.81
  4. Step 4: Simplify right side
    275.48x = 38,339.28
  5. Step 5: Solve for x
    x = 38,339.28/275.48
  6. Step 6: Final answer
    x = 139.17

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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.