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Finding the Fourth Proportional to 75.45, 113.14 and 41.20

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Solution

The fourth proportional to 75.45, 113.14 and 41.20 is: 61.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.45 : 113.14 = 41.20 : x
  2. Step 2: Convert to fraction form
    75.45/113.14 = 41.20/x
  3. Step 3: Cross multiply
    75.45x = 113.14 × 41.20
  4. Step 4: Simplify right side
    75.45x = 4,661.37
  5. Step 5: Solve for x
    x = 4,661.37/75.45
  6. Step 6: Final answer
    x = 61.78

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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.