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Finding the Fourth Proportional to 25.97, 35.81 and 19.08

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Solution

The fourth proportional to 25.97, 35.81 and 19.08 is: 26.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.97 : 35.81 = 19.08 : x
  2. Step 2: Convert to fraction form
    25.97/35.81 = 19.08/x
  3. Step 3: Cross multiply
    25.97x = 35.81 × 19.08
  4. Step 4: Simplify right side
    25.97x = 683.16
  5. Step 5: Solve for x
    x = 683.16/25.97
  6. Step 6: Final answer
    x = 26.31

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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.