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Finding the Fourth Proportional to 22.60, 31.19 and 13.27

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Solution

The fourth proportional to 22.60, 31.19 and 13.27 is: 18.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.60 : 31.19 = 13.27 : x
  2. Step 2: Convert to fraction form
    22.60/31.19 = 13.27/x
  3. Step 3: Cross multiply
    22.60x = 31.19 × 13.27
  4. Step 4: Simplify right side
    22.60x = 413.74
  5. Step 5: Solve for x
    x = 413.74/22.60
  6. Step 6: Final answer
    x = 18.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.