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Finding the Fourth Proportional to 73.84, 110.77 and 25.75

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Solution

The fourth proportional to 73.84, 110.77 and 25.75 is: 38.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 110.77 = 25.75 : x
  2. Step 2: Convert to fraction form
    73.84/110.77 = 25.75/x
  3. Step 3: Cross multiply
    73.84x = 110.77 × 25.75
  4. Step 4: Simplify right side
    73.84x = 2,852.33
  5. Step 5: Solve for x
    x = 2,852.33/73.84
  6. Step 6: Final answer
    x = 38.63

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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.