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Finding the Fourth Proportional to 75.86, 113.84 and 30.25

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Solution

The fourth proportional to 75.86, 113.84 and 30.25 is: 45.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 113.84 = 30.25 : x
  2. Step 2: Convert to fraction form
    75.86/113.84 = 30.25/x
  3. Step 3: Cross multiply
    75.86x = 113.84 × 30.25
  4. Step 4: Simplify right side
    75.86x = 3,442.94
  5. Step 5: Solve for x
    x = 3,442.94/75.86
  6. Step 6: Final answer
    x = 45.39

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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.