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Finding the Fourth Proportional to 21.27, 31.90 and 6.05

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Solution

The fourth proportional to 21.27, 31.90 and 6.05 is: 9.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.27 : 31.90 = 6.05 : x
  2. Step 2: Convert to fraction form
    21.27/31.90 = 6.05/x
  3. Step 3: Cross multiply
    21.27x = 31.90 × 6.05
  4. Step 4: Simplify right side
    21.27x = 193.00
  5. Step 5: Solve for x
    x = 193.00/21.27
  6. Step 6: Final answer
    x = 9.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.