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Finding the Fourth Proportional to 46.81, 64.60 and 27.41

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Solution

The fourth proportional to 46.81, 64.60 and 27.41 is: 37.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.81 : 64.60 = 27.41 : x
  2. Step 2: Convert to fraction form
    46.81/64.60 = 27.41/x
  3. Step 3: Cross multiply
    46.81x = 64.60 × 27.41
  4. Step 4: Simplify right side
    46.81x = 1,770.69
  5. Step 5: Solve for x
    x = 1,770.69/46.81
  6. Step 6: Final answer
    x = 37.83

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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.