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Finding the Fourth Proportional to 75.84, 113.77 and 27.09

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Solution

The fourth proportional to 75.84, 113.77 and 27.09 is: 40.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 113.77 = 27.09 : x
  2. Step 2: Convert to fraction form
    75.84/113.77 = 27.09/x
  3. Step 3: Cross multiply
    75.84x = 113.77 × 27.09
  4. Step 4: Simplify right side
    75.84x = 3,081.33
  5. Step 5: Solve for x
    x = 3,081.33/75.84
  6. Step 6: Final answer
    x = 40.63

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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.