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Finding the Fourth Proportional to 34.90, 48.17 and 21.78

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Solution

The fourth proportional to 34.90, 48.17 and 21.78 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.90 : 48.17 = 21.78 : x
  2. Step 2: Convert to fraction form
    34.90/48.17 = 21.78/x
  3. Step 3: Cross multiply
    34.90x = 48.17 × 21.78
  4. Step 4: Simplify right side
    34.90x = 1,049.07
  5. Step 5: Solve for x
    x = 1,049.07/34.90
  6. Step 6: Final answer
    x = 30.06

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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.