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Finding the Fourth Proportional to 22.16, 32.84 and 22.07

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Solution

The fourth proportional to 22.16, 32.84 and 22.07 is: 32.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.16 : 32.84 = 22.07 : x
  2. Step 2: Convert to fraction form
    22.16/32.84 = 22.07/x
  3. Step 3: Cross multiply
    22.16x = 32.84 × 22.07
  4. Step 4: Simplify right side
    22.16x = 724.78
  5. Step 5: Solve for x
    x = 724.78/22.16
  6. Step 6: Final answer
    x = 32.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.