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Finding the Fourth Proportional to 35.94, 54.12 and 25.86

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Solution

The fourth proportional to 35.94, 54.12 and 25.86 is: 38.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.94 : 54.12 = 25.86 : x
  2. Step 2: Convert to fraction form
    35.94/54.12 = 25.86/x
  3. Step 3: Cross multiply
    35.94x = 54.12 × 25.86
  4. Step 4: Simplify right side
    35.94x = 1,399.70
  5. Step 5: Solve for x
    x = 1,399.70/35.94
  6. Step 6: Final answer
    x = 38.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.