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Finding the Fourth Proportional to 22.30, 30.71 and 19.22

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Solution

The fourth proportional to 22.30, 30.71 and 19.22 is: 26.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.30 : 30.71 = 19.22 : x
  2. Step 2: Convert to fraction form
    22.30/30.71 = 19.22/x
  3. Step 3: Cross multiply
    22.30x = 30.71 × 19.22
  4. Step 4: Simplify right side
    22.30x = 590.32
  5. Step 5: Solve for x
    x = 590.32/22.30
  6. Step 6: Final answer
    x = 26.48

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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.