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Finding the Fourth Proportional to 76.18, 104.44 and 74.82

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Solution

The fourth proportional to 76.18, 104.44 and 74.82 is: 102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.18 : 104.44 = 74.82 : x
  2. Step 2: Convert to fraction form
    76.18/104.44 = 74.82/x
  3. Step 3: Cross multiply
    76.18x = 104.44 × 74.82
  4. Step 4: Simplify right side
    76.18x = 7,813.87
  5. Step 5: Solve for x
    x = 7,813.87/76.18
  6. Step 6: Final answer
    x = 102.57

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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.