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Finding the Fourth Proportional to 34.77, 47.60 and 33.84

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Solution

The fourth proportional to 34.77, 47.60 and 33.84 is: 46.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.77 : 47.60 = 33.84 : x
  2. Step 2: Convert to fraction form
    34.77/47.60 = 33.84/x
  3. Step 3: Cross multiply
    34.77x = 47.60 × 33.84
  4. Step 4: Simplify right side
    34.77x = 1,610.87
  5. Step 5: Solve for x
    x = 1,610.87/34.77
  6. Step 6: Final answer
    x = 46.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.