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Finding the Fourth Proportional to 75.89, 113.86 and 24.54

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Solution

The fourth proportional to 75.89, 113.86 and 24.54 is: 36.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 113.86 = 24.54 : x
  2. Step 2: Convert to fraction form
    75.89/113.86 = 24.54/x
  3. Step 3: Cross multiply
    75.89x = 113.86 × 24.54
  4. Step 4: Simplify right side
    75.89x = 2,794.12
  5. Step 5: Solve for x
    x = 2,794.12/75.89
  6. Step 6: Final answer
    x = 36.82

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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.