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Finding the Fourth Proportional to 289.87, 434.96 and 107.32

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Solution

The fourth proportional to 289.87, 434.96 and 107.32 is: 161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.87 : 434.96 = 107.32 : x
  2. Step 2: Convert to fraction form
    289.87/434.96 = 107.32/x
  3. Step 3: Cross multiply
    289.87x = 434.96 × 107.32
  4. Step 4: Simplify right side
    289.87x = 46,678.28
  5. Step 5: Solve for x
    x = 46,678.28/289.87
  6. Step 6: Final answer
    x = 161.03

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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.