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Finding the Fourth Proportional to 106.86, 160.34 and 76.67

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Solution

The fourth proportional to 106.86, 160.34 and 76.67 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 160.34 = 76.67 : x
  2. Step 2: Convert to fraction form
    106.86/160.34 = 76.67/x
  3. Step 3: Cross multiply
    106.86x = 160.34 × 76.67
  4. Step 4: Simplify right side
    106.86x = 12,292.08
  5. Step 5: Solve for x
    x = 12,292.08/106.86
  6. Step 6: Final answer
    x = 115.03

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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.