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Finding the Fourth Proportional to 307.49, 461.23 and 91.06

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Solution

The fourth proportional to 307.49, 461.23 and 91.06 is: 136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.49 : 461.23 = 91.06 : x
  2. Step 2: Convert to fraction form
    307.49/461.23 = 91.06/x
  3. Step 3: Cross multiply
    307.49x = 461.23 × 91.06
  4. Step 4: Simplify right side
    307.49x = 41,998.22
  5. Step 5: Solve for x
    x = 41,998.22/307.49
  6. Step 6: Final answer
    x = 136.59

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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.