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Finding the Fourth Proportional to 271.79, 407.63 and 76.75

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Solution

The fourth proportional to 271.79, 407.63 and 76.75 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.79 : 407.63 = 76.75 : x
  2. Step 2: Convert to fraction form
    271.79/407.63 = 76.75/x
  3. Step 3: Cross multiply
    271.79x = 407.63 × 76.75
  4. Step 4: Simplify right side
    271.79x = 31,285.60
  5. Step 5: Solve for x
    x = 31,285.60/271.79
  6. Step 6: Final answer
    x = 115.11

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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.