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Finding the Fourth Proportional to 20.42, 30.68 and 9.74

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Solution

The fourth proportional to 20.42, 30.68 and 9.74 is: 14.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.42 : 30.68 = 9.74 : x
  2. Step 2: Convert to fraction form
    20.42/30.68 = 9.74/x
  3. Step 3: Cross multiply
    20.42x = 30.68 × 9.74
  4. Step 4: Simplify right side
    20.42x = 298.69
  5. Step 5: Solve for x
    x = 298.69/20.42
  6. Step 6: Final answer
    x = 14.63

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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.