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Finding the Fourth Proportional to 14.57, 20.09 and 9.65

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Solution

The fourth proportional to 14.57, 20.09 and 9.65 is: 13.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.57 : 20.09 = 9.65 : x
  2. Step 2: Convert to fraction form
    14.57/20.09 = 9.65/x
  3. Step 3: Cross multiply
    14.57x = 20.09 × 9.65
  4. Step 4: Simplify right side
    14.57x = 193.87
  5. Step 5: Solve for x
    x = 193.87/14.57
  6. Step 6: Final answer
    x = 13.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.