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Finding the Fourth Proportional to 75.67, 113.42 and 46.78

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Solution

The fourth proportional to 75.67, 113.42 and 46.78 is: 70.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.67 : 113.42 = 46.78 : x
  2. Step 2: Convert to fraction form
    75.67/113.42 = 46.78/x
  3. Step 3: Cross multiply
    75.67x = 113.42 × 46.78
  4. Step 4: Simplify right side
    75.67x = 5,305.62
  5. Step 5: Solve for x
    x = 5,305.62/75.67
  6. Step 6: Final answer
    x = 70.12

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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.