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Finding the Fourth Proportional to 75.71, 104.44 and 49.84

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Solution

The fourth proportional to 75.71, 104.44 and 49.84 is: 68.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.71 : 104.44 = 49.84 : x
  2. Step 2: Convert to fraction form
    75.71/104.44 = 49.84/x
  3. Step 3: Cross multiply
    75.71x = 104.44 × 49.84
  4. Step 4: Simplify right side
    75.71x = 5,205.29
  5. Step 5: Solve for x
    x = 5,205.29/75.71
  6. Step 6: Final answer
    x = 68.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.