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Finding the Fourth Proportional to 364.09, 546.14 and 107.59

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Solution

The fourth proportional to 364.09, 546.14 and 107.59 is: 161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.09 : 546.14 = 107.59 : x
  2. Step 2: Convert to fraction form
    364.09/546.14 = 107.59/x
  3. Step 3: Cross multiply
    364.09x = 546.14 × 107.59
  4. Step 4: Simplify right side
    364.09x = 58,759.20
  5. Step 5: Solve for x
    x = 58,759.20/364.09
  6. Step 6: Final answer
    x = 161.39

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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.