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Finding the Fourth Proportional to 27.98, 41.80 and 23.43

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Solution

The fourth proportional to 27.98, 41.80 and 23.43 is: 35.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.98 : 41.80 = 23.43 : x
  2. Step 2: Convert to fraction form
    27.98/41.80 = 23.43/x
  3. Step 3: Cross multiply
    27.98x = 41.80 × 23.43
  4. Step 4: Simplify right side
    27.98x = 979.37
  5. Step 5: Solve for x
    x = 979.37/27.98
  6. Step 6: Final answer
    x = 35.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.