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Finding the Fourth Proportional to 364.42, 546.54 and 107.92

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Solution

The fourth proportional to 364.42, 546.54 and 107.92 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 546.54 = 107.92 : x
  2. Step 2: Convert to fraction form
    364.42/546.54 = 107.92/x
  3. Step 3: Cross multiply
    364.42x = 546.54 × 107.92
  4. Step 4: Simplify right side
    364.42x = 58,982.60
  5. Step 5: Solve for x
    x = 58,982.60/364.42
  6. Step 6: Final answer
    x = 161.85

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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.