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Finding the Fourth Proportional to 20.68, 31.01 and 7.84

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Solution

The fourth proportional to 20.68, 31.01 and 7.84 is: 11.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.68 : 31.01 = 7.84 : x
  2. Step 2: Convert to fraction form
    20.68/31.01 = 7.84/x
  3. Step 3: Cross multiply
    20.68x = 31.01 × 7.84
  4. Step 4: Simplify right side
    20.68x = 242.94
  5. Step 5: Solve for x
    x = 242.94/20.68
  6. Step 6: Final answer
    x = 11.75

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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.