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Finding the Fourth Proportional to 275.53, 413.16 and 113.13

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Solution

The fourth proportional to 275.53, 413.16 and 113.13 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.53 : 413.16 = 113.13 : x
  2. Step 2: Convert to fraction form
    275.53/413.16 = 113.13/x
  3. Step 3: Cross multiply
    275.53x = 413.16 × 113.13
  4. Step 4: Simplify right side
    275.53x = 46,740.79
  5. Step 5: Solve for x
    x = 46,740.79/275.53
  6. Step 6: Final answer
    x = 169.64

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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.