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Finding the Fourth Proportional to 20.68, 31.02 and 11.65

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Solution

The fourth proportional to 20.68, 31.02 and 11.65 is: 17.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.68 : 31.02 = 11.65 : x
  2. Step 2: Convert to fraction form
    20.68/31.02 = 11.65/x
  3. Step 3: Cross multiply
    20.68x = 31.02 × 11.65
  4. Step 4: Simplify right side
    20.68x = 361.38
  5. Step 5: Solve for x
    x = 361.38/20.68
  6. Step 6: Final answer
    x = 17.48

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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.