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Finding the Fourth Proportional to 27.50, 38.05 and 23.61

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Solution

The fourth proportional to 27.50, 38.05 and 23.61 is: 32.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.50 : 38.05 = 23.61 : x
  2. Step 2: Convert to fraction form
    27.50/38.05 = 23.61/x
  3. Step 3: Cross multiply
    27.50x = 38.05 × 23.61
  4. Step 4: Simplify right side
    27.50x = 898.36
  5. Step 5: Solve for x
    x = 898.36/27.50
  6. Step 6: Final answer
    x = 32.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.