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Finding the Fourth Proportional to 20.22, 27.98 and 19.16

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Solution

The fourth proportional to 20.22, 27.98 and 19.16 is: 26.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.22 : 27.98 = 19.16 : x
  2. Step 2: Convert to fraction form
    20.22/27.98 = 19.16/x
  3. Step 3: Cross multiply
    20.22x = 27.98 × 19.16
  4. Step 4: Simplify right side
    20.22x = 536.10
  5. Step 5: Solve for x
    x = 536.10/20.22
  6. Step 6: Final answer
    x = 26.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.