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Finding the Fourth Proportional to 25.92, 38.82 and 22.14

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Solution

The fourth proportional to 25.92, 38.82 and 22.14 is: 33.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.92 : 38.82 = 22.14 : x
  2. Step 2: Convert to fraction form
    25.92/38.82 = 22.14/x
  3. Step 3: Cross multiply
    25.92x = 38.82 × 22.14
  4. Step 4: Simplify right side
    25.92x = 859.47
  5. Step 5: Solve for x
    x = 859.47/25.92
  6. Step 6: Final answer
    x = 33.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.