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Finding the Fourth Proportional to 25.89, 38.85 and 9.65

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Solution

The fourth proportional to 25.89, 38.85 and 9.65 is: 14.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.89 : 38.85 = 9.65 : x
  2. Step 2: Convert to fraction form
    25.89/38.85 = 9.65/x
  3. Step 3: Cross multiply
    25.89x = 38.85 × 9.65
  4. Step 4: Simplify right side
    25.89x = 375.00
  5. Step 5: Solve for x
    x = 375.00/25.89
  6. Step 6: Final answer
    x = 14.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.