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Finding the Fourth Proportional to 76.09, 113.96 and 48.97

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Solution

The fourth proportional to 76.09, 113.96 and 48.97 is: 73.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.09 : 113.96 = 48.97 : x
  2. Step 2: Convert to fraction form
    76.09/113.96 = 48.97/x
  3. Step 3: Cross multiply
    76.09x = 113.96 × 48.97
  4. Step 4: Simplify right side
    76.09x = 5,580.62
  5. Step 5: Solve for x
    x = 5,580.62/76.09
  6. Step 6: Final answer
    x = 73.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.