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Finding the Fourth Proportional to 27.98, 41.76 and 23.07

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Solution

The fourth proportional to 27.98, 41.76 and 23.07 is: 34.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.98 : 41.76 = 23.07 : x
  2. Step 2: Convert to fraction form
    27.98/41.76 = 23.07/x
  3. Step 3: Cross multiply
    27.98x = 41.76 × 23.07
  4. Step 4: Simplify right side
    27.98x = 963.40
  5. Step 5: Solve for x
    x = 963.40/27.98
  6. Step 6: Final answer
    x = 34.43

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Why These Related Problems?

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