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Finding the Fourth Proportional to 22.31, 30.77 and 19.22

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Solution

The fourth proportional to 22.31, 30.77 and 19.22 is: 26.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.31 : 30.77 = 19.22 : x
  2. Step 2: Convert to fraction form
    22.31/30.77 = 19.22/x
  3. Step 3: Cross multiply
    22.31x = 30.77 × 19.22
  4. Step 4: Simplify right side
    22.31x = 591.40
  5. Step 5: Solve for x
    x = 591.40/22.31
  6. Step 6: Final answer
    x = 26.51

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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.