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Finding the Fourth Proportional to 289.85, 434.78 and 107.12

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Solution

The fourth proportional to 289.85, 434.78 and 107.12 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 434.78 = 107.12 : x
  2. Step 2: Convert to fraction form
    289.85/434.78 = 107.12/x
  3. Step 3: Cross multiply
    289.85x = 434.78 × 107.12
  4. Step 4: Simplify right side
    289.85x = 46,573.63
  5. Step 5: Solve for x
    x = 46,573.63/289.85
  6. Step 6: Final answer
    x = 160.68

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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.