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Finding the Fourth Proportional to 22.10, 30.52 and 19.42

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Solution

The fourth proportional to 22.10, 30.52 and 19.42 is: 26.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.10 : 30.52 = 19.42 : x
  2. Step 2: Convert to fraction form
    22.10/30.52 = 19.42/x
  3. Step 3: Cross multiply
    22.10x = 30.52 × 19.42
  4. Step 4: Simplify right side
    22.10x = 592.70
  5. Step 5: Solve for x
    x = 592.70/22.10
  6. Step 6: Final answer
    x = 26.82

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