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Finding the Fourth Proportional to 413.18, 619.74 and 105.03

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Solution

The fourth proportional to 413.18, 619.74 and 105.03 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.18 : 619.74 = 105.03 : x
  2. Step 2: Convert to fraction form
    413.18/619.74 = 105.03/x
  3. Step 3: Cross multiply
    413.18x = 619.74 × 105.03
  4. Step 4: Simplify right side
    413.18x = 65,091.29
  5. Step 5: Solve for x
    x = 65,091.29/413.18
  6. Step 6: Final answer
    x = 157.54

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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.