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Finding the Fourth Proportional to 22.23, 30.68 and 15.32

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Solution

The fourth proportional to 22.23, 30.68 and 15.32 is: 21.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.23 : 30.68 = 15.32 : x
  2. Step 2: Convert to fraction form
    22.23/30.68 = 15.32/x
  3. Step 3: Cross multiply
    22.23x = 30.68 × 15.32
  4. Step 4: Simplify right side
    22.23x = 470.02
  5. Step 5: Solve for x
    x = 470.02/22.23
  6. Step 6: Final answer
    x = 21.14

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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.