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Finding the Fourth Proportional to 27.50, 41.17 and 23.00

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Solution

The fourth proportional to 27.50, 41.17 and 23.00 is: 34.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.50 : 41.17 = 23.00 : x
  2. Step 2: Convert to fraction form
    27.50/41.17 = 23.00/x
  3. Step 3: Cross multiply
    27.50x = 41.17 × 23.00
  4. Step 4: Simplify right side
    27.50x = 946.65
  5. Step 5: Solve for x
    x = 946.65/27.50
  6. Step 6: Final answer
    x = 34.43

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Why These Related Problems?

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