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Finding the Fourth Proportional to 22.25, 30.64 and 21.23

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Solution

The fourth proportional to 22.25, 30.64 and 21.23 is: 29.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.25 : 30.64 = 21.23 : x
  2. Step 2: Convert to fraction form
    22.25/30.64 = 21.23/x
  3. Step 3: Cross multiply
    22.25x = 30.64 × 21.23
  4. Step 4: Simplify right side
    22.25x = 650.51
  5. Step 5: Solve for x
    x = 650.51/22.25
  6. Step 6: Final answer
    x = 29.24

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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.