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Finding the Fourth Proportional to 289.68, 434.58 and 107.09

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Solution

The fourth proportional to 289.68, 434.58 and 107.09 is: 160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 434.58 = 107.09 : x
  2. Step 2: Convert to fraction form
    289.68/434.58 = 107.09/x
  3. Step 3: Cross multiply
    289.68x = 434.58 × 107.09
  4. Step 4: Simplify right side
    289.68x = 46,537.00
  5. Step 5: Solve for x
    x = 46,537.00/289.68
  6. Step 6: Final answer
    x = 160.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.