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Finding the Fourth Proportional to 25.94, 35.82 and 24.92

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Solution

The fourth proportional to 25.94, 35.82 and 24.92 is: 34.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.94 : 35.82 = 24.92 : x
  2. Step 2: Convert to fraction form
    25.94/35.82 = 24.92/x
  3. Step 3: Cross multiply
    25.94x = 35.82 × 24.92
  4. Step 4: Simplify right side
    25.94x = 892.63
  5. Step 5: Solve for x
    x = 892.63/25.94
  6. Step 6: Final answer
    x = 34.41

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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.