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Finding the Fourth Proportional to 76.44, 105.49 and 47.33

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Solution

The fourth proportional to 76.44, 105.49 and 47.33 is: 65.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 105.49 = 47.33 : x
  2. Step 2: Convert to fraction form
    76.44/105.49 = 47.33/x
  3. Step 3: Cross multiply
    76.44x = 105.49 × 47.33
  4. Step 4: Simplify right side
    76.44x = 4,992.61
  5. Step 5: Solve for x
    x = 4,992.61/76.44
  6. Step 6: Final answer
    x = 65.31

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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.