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Finding the Fourth Proportional to 22.89, 31.59 and 13.19

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Solution

The fourth proportional to 22.89, 31.59 and 13.19 is: 18.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.89 : 31.59 = 13.19 : x
  2. Step 2: Convert to fraction form
    22.89/31.59 = 13.19/x
  3. Step 3: Cross multiply
    22.89x = 31.59 × 13.19
  4. Step 4: Simplify right side
    22.89x = 416.67
  5. Step 5: Solve for x
    x = 416.67/22.89
  6. Step 6: Final answer
    x = 18.20

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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.