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Finding the Fourth Proportional to 34.40, 51.63 and 25.85

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Solution

The fourth proportional to 34.40, 51.63 and 25.85 is: 38.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.40 : 51.63 = 25.85 : x
  2. Step 2: Convert to fraction form
    34.40/51.63 = 25.85/x
  3. Step 3: Cross multiply
    34.40x = 51.63 × 25.85
  4. Step 4: Simplify right side
    34.40x = 1,334.51
  5. Step 5: Solve for x
    x = 1,334.51/34.40
  6. Step 6: Final answer
    x = 38.79

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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.