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Finding the Fourth Proportional to 75.67, 113.39 and 46.71

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Solution

The fourth proportional to 75.67, 113.39 and 46.71 is: 69.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.67 : 113.39 = 46.71 : x
  2. Step 2: Convert to fraction form
    75.67/113.39 = 46.71/x
  3. Step 3: Cross multiply
    75.67x = 113.39 × 46.71
  4. Step 4: Simplify right side
    75.67x = 5,296.45
  5. Step 5: Solve for x
    x = 5,296.45/75.67
  6. Step 6: Final answer
    x = 69.99

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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.