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Finding the Fourth Proportional to 289.18, 433.93 and 106.55

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Solution

The fourth proportional to 289.18, 433.93 and 106.55 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.18 : 433.93 = 106.55 : x
  2. Step 2: Convert to fraction form
    289.18/433.93 = 106.55/x
  3. Step 3: Cross multiply
    289.18x = 433.93 × 106.55
  4. Step 4: Simplify right side
    289.18x = 46,234.63
  5. Step 5: Solve for x
    x = 46,234.63/289.18
  6. Step 6: Final answer
    x = 159.88

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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.