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Finding the Fourth Proportional to 275.94, 414.01 and 83.57

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Solution

The fourth proportional to 275.94, 414.01 and 83.57 is: 125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 414.01 = 83.57 : x
  2. Step 2: Convert to fraction form
    275.94/414.01 = 83.57/x
  3. Step 3: Cross multiply
    275.94x = 414.01 × 83.57
  4. Step 4: Simplify right side
    275.94x = 34,596.75
  5. Step 5: Solve for x
    x = 34,596.75/275.94
  6. Step 6: Final answer
    x = 125.38

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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.