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Finding the Fourth Proportional to 307.69, 461.54 and 91.27

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Solution

The fourth proportional to 307.69, 461.54 and 91.27 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 461.54 = 91.27 : x
  2. Step 2: Convert to fraction form
    307.69/461.54 = 91.27/x
  3. Step 3: Cross multiply
    307.69x = 461.54 × 91.27
  4. Step 4: Simplify right side
    307.69x = 42,125.56
  5. Step 5: Solve for x
    x = 42,125.56/307.69
  6. Step 6: Final answer
    x = 136.91

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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.