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Finding the Fourth Proportional to 25.94, 38.84 and 23.42

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Solution

The fourth proportional to 25.94, 38.84 and 23.42 is: 35.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.94 : 38.84 = 23.42 : x
  2. Step 2: Convert to fraction form
    25.94/38.84 = 23.42/x
  3. Step 3: Cross multiply
    25.94x = 38.84 × 23.42
  4. Step 4: Simplify right side
    25.94x = 909.63
  5. Step 5: Solve for x
    x = 909.63/25.94
  6. Step 6: Final answer
    x = 35.07

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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.