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Finding the Fourth Proportional to 22.42, 33.76 and 19.23

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Solution

The fourth proportional to 22.42, 33.76 and 19.23 is: 28.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.42 : 33.76 = 19.23 : x
  2. Step 2: Convert to fraction form
    22.42/33.76 = 19.23/x
  3. Step 3: Cross multiply
    22.42x = 33.76 × 19.23
  4. Step 4: Simplify right side
    22.42x = 649.20
  5. Step 5: Solve for x
    x = 649.20/22.42
  6. Step 6: Final answer
    x = 28.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.