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Finding the Fourth Proportional to 289.90, 435.01 and 107.27

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Solution

The fourth proportional to 289.90, 435.01 and 107.27 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 435.01 = 107.27 : x
  2. Step 2: Convert to fraction form
    289.90/435.01 = 107.27/x
  3. Step 3: Cross multiply
    289.90x = 435.01 × 107.27
  4. Step 4: Simplify right side
    289.90x = 46,663.52
  5. Step 5: Solve for x
    x = 46,663.52/289.90
  6. Step 6: Final answer
    x = 160.96

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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.