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Finding the Fourth Proportional to 289.16, 433.80 and 106.54

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Solution

The fourth proportional to 289.16, 433.80 and 106.54 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 433.80 = 106.54 : x
  2. Step 2: Convert to fraction form
    289.16/433.80 = 106.54/x
  3. Step 3: Cross multiply
    289.16x = 433.80 × 106.54
  4. Step 4: Simplify right side
    289.16x = 46,217.05
  5. Step 5: Solve for x
    x = 46,217.05/289.16
  6. Step 6: Final answer
    x = 159.83

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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.