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Finding the Fourth Proportional to 22.64, 34.16 and 21.68

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Solution

The fourth proportional to 22.64, 34.16 and 21.68 is: 32.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.64 : 34.16 = 21.68 : x
  2. Step 2: Convert to fraction form
    22.64/34.16 = 21.68/x
  3. Step 3: Cross multiply
    22.64x = 34.16 × 21.68
  4. Step 4: Simplify right side
    22.64x = 740.59
  5. Step 5: Solve for x
    x = 740.59/22.64
  6. Step 6: Final answer
    x = 32.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.