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Finding the Fourth Proportional to 25.90, 38.84 and 9.65

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Solution

The fourth proportional to 25.90, 38.84 and 9.65 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.90 : 38.84 = 9.65 : x
  2. Step 2: Convert to fraction form
    25.90/38.84 = 9.65/x
  3. Step 3: Cross multiply
    25.90x = 38.84 × 9.65
  4. Step 4: Simplify right side
    25.90x = 374.81
  5. Step 5: Solve for x
    x = 374.81/25.90
  6. Step 6: Final answer
    x = 14.47

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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.