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Finding the Fourth Proportional to 289.48, 434.45 and 106.99

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Solution

The fourth proportional to 289.48, 434.45 and 106.99 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.48 : 434.45 = 106.99 : x
  2. Step 2: Convert to fraction form
    289.48/434.45 = 106.99/x
  3. Step 3: Cross multiply
    289.48x = 434.45 × 106.99
  4. Step 4: Simplify right side
    289.48x = 46,481.27
  5. Step 5: Solve for x
    x = 46,481.27/289.48
  6. Step 6: Final answer
    x = 160.57

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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.