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Finding the Fourth Proportional to 25.81, 38.89 and 25.00

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Solution

The fourth proportional to 25.81, 38.89 and 25.00 is: 37.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.81 : 38.89 = 25.00 : x
  2. Step 2: Convert to fraction form
    25.81/38.89 = 25.00/x
  3. Step 3: Cross multiply
    25.81x = 38.89 × 25.00
  4. Step 4: Simplify right side
    25.81x = 971.93
  5. Step 5: Solve for x
    x = 971.93/25.81
  6. Step 6: Final answer
    x = 37.66

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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.