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Finding the Fourth Proportional to 20.24, 27.74 and 20.24

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Solution

The fourth proportional to 20.24, 27.74 and 20.24 is: 27.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.24 : 27.74 = 20.24 : x
  2. Step 2: Convert to fraction form
    20.24/27.74 = 20.24/x
  3. Step 3: Cross multiply
    20.24x = 27.74 × 20.24
  4. Step 4: Simplify right side
    20.24x = 561.22
  5. Step 5: Solve for x
    x = 561.22/20.24
  6. Step 6: Final answer
    x = 27.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.