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Finding the Fourth Proportional to 272.99, 409.42 and 75.33

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Solution

The fourth proportional to 272.99, 409.42 and 75.33 is: 112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.99 : 409.42 = 75.33 : x
  2. Step 2: Convert to fraction form
    272.99/409.42 = 75.33/x
  3. Step 3: Cross multiply
    272.99x = 409.42 × 75.33
  4. Step 4: Simplify right side
    272.99x = 30,841.61
  5. Step 5: Solve for x
    x = 30,841.61/272.99
  6. Step 6: Final answer
    x = 112.98

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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.