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Finding the Fourth Proportional to 22.82, 34.16 and 14.78

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Solution

The fourth proportional to 22.82, 34.16 and 14.78 is: 22.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.82 : 34.16 = 14.78 : x
  2. Step 2: Convert to fraction form
    22.82/34.16 = 14.78/x
  3. Step 3: Cross multiply
    22.82x = 34.16 × 14.78
  4. Step 4: Simplify right side
    22.82x = 504.90
  5. Step 5: Solve for x
    x = 504.90/22.82
  6. Step 6: Final answer
    x = 22.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.