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Finding the Fourth Proportional to 75.96, 113.85 and 30.30

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Solution

The fourth proportional to 75.96, 113.85 and 30.30 is: 45.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 113.85 = 30.30 : x
  2. Step 2: Convert to fraction form
    75.96/113.85 = 30.30/x
  3. Step 3: Cross multiply
    75.96x = 113.85 × 30.30
  4. Step 4: Simplify right side
    75.96x = 3,449.66
  5. Step 5: Solve for x
    x = 3,449.66/75.96
  6. Step 6: Final answer
    x = 45.41

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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.