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Finding the Fourth Proportional to 34.60, 47.75 and 20.05

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Solution

The fourth proportional to 34.60, 47.75 and 20.05 is: 27.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.60 : 47.75 = 20.05 : x
  2. Step 2: Convert to fraction form
    34.60/47.75 = 20.05/x
  3. Step 3: Cross multiply
    34.60x = 47.75 × 20.05
  4. Step 4: Simplify right side
    34.60x = 957.17
  5. Step 5: Solve for x
    x = 957.17/34.60
  6. Step 6: Final answer
    x = 27.67

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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.