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Finding the Fourth Proportional to 25.96, 35.88 and 19.84

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Solution

The fourth proportional to 25.96, 35.88 and 19.84 is: 27.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 35.88 = 19.84 : x
  2. Step 2: Convert to fraction form
    25.96/35.88 = 19.84/x
  3. Step 3: Cross multiply
    25.96x = 35.88 × 19.84
  4. Step 4: Simplify right side
    25.96x = 711.86
  5. Step 5: Solve for x
    x = 711.86/25.96
  6. Step 6: Final answer
    x = 27.42

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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.