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Finding the Fourth Proportional to 75.67, 113.37 and 64.73

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Solution

The fourth proportional to 75.67, 113.37 and 64.73 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.67 : 113.37 = 64.73 : x
  2. Step 2: Convert to fraction form
    75.67/113.37 = 64.73/x
  3. Step 3: Cross multiply
    75.67x = 113.37 × 64.73
  4. Step 4: Simplify right side
    75.67x = 7,338.54
  5. Step 5: Solve for x
    x = 7,338.54/75.67
  6. Step 6: Final answer
    x = 96.98

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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.