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Finding the Fourth Proportional to 271.94, 407.92 and 76.95

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Solution

The fourth proportional to 271.94, 407.92 and 76.95 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 407.92 = 76.95 : x
  2. Step 2: Convert to fraction form
    271.94/407.92 = 76.95/x
  3. Step 3: Cross multiply
    271.94x = 407.92 × 76.95
  4. Step 4: Simplify right side
    271.94x = 31,387.53
  5. Step 5: Solve for x
    x = 31,387.53/271.94
  6. Step 6: Final answer
    x = 115.42

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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.