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Finding the Fourth Proportional to 25.96, 35.78 and 18.68

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Solution

The fourth proportional to 25.96, 35.78 and 18.68 is: 25.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 35.78 = 18.68 : x
  2. Step 2: Convert to fraction form
    25.96/35.78 = 18.68/x
  3. Step 3: Cross multiply
    25.96x = 35.78 × 18.68
  4. Step 4: Simplify right side
    25.96x = 668.37
  5. Step 5: Solve for x
    x = 668.37/25.96
  6. Step 6: Final answer
    x = 25.75

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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.