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Finding the Fourth Proportional to 307.96, 462.02 and 91.54

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Solution

The fourth proportional to 307.96, 462.02 and 91.54 is: 137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 462.02 = 91.54 : x
  2. Step 2: Convert to fraction form
    307.96/462.02 = 91.54/x
  3. Step 3: Cross multiply
    307.96x = 462.02 × 91.54
  4. Step 4: Simplify right side
    307.96x = 42,293.31
  5. Step 5: Solve for x
    x = 42,293.31/307.96
  6. Step 6: Final answer
    x = 137.33

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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.