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Finding the Fourth Proportional to 21.27, 31.89 and 7.74

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Solution

The fourth proportional to 21.27, 31.89 and 7.74 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.27 : 31.89 = 7.74 : x
  2. Step 2: Convert to fraction form
    21.27/31.89 = 7.74/x
  3. Step 3: Cross multiply
    21.27x = 31.89 × 7.74
  4. Step 4: Simplify right side
    21.27x = 246.83
  5. Step 5: Solve for x
    x = 246.83/21.27
  6. Step 6: Final answer
    x = 11.60

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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.