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Finding the Fourth Proportional to 75.45, 113.09 and 34.84

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Solution

The fourth proportional to 75.45, 113.09 and 34.84 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.45 : 113.09 = 34.84 : x
  2. Step 2: Convert to fraction form
    75.45/113.09 = 34.84/x
  3. Step 3: Cross multiply
    75.45x = 113.09 × 34.84
  4. Step 4: Simplify right side
    75.45x = 3,939.49
  5. Step 5: Solve for x
    x = 3,939.49/75.45
  6. Step 6: Final answer
    x = 52.21

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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.