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Finding the Fourth Proportional to 106.85, 160.31 and 89.78

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Solution

The fourth proportional to 106.85, 160.31 and 89.78 is: 134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.85 : 160.31 = 89.78 : x
  2. Step 2: Convert to fraction form
    106.85/160.31 = 89.78/x
  3. Step 3: Cross multiply
    106.85x = 160.31 × 89.78
  4. Step 4: Simplify right side
    106.85x = 14,392.05
  5. Step 5: Solve for x
    x = 14,392.05/106.85
  6. Step 6: Final answer
    x = 134.69

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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.