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Finding the Fourth Proportional to 25.70, 35.42 and 19.48

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Solution

The fourth proportional to 25.70, 35.42 and 19.48 is: 26.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.70 : 35.42 = 19.48 : x
  2. Step 2: Convert to fraction form
    25.70/35.42 = 19.48/x
  3. Step 3: Cross multiply
    25.70x = 35.42 × 19.48
  4. Step 4: Simplify right side
    25.70x = 689.98
  5. Step 5: Solve for x
    x = 689.98/25.70
  6. Step 6: Final answer
    x = 26.85

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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.