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Finding the Fourth Proportional to 106.78, 160.26 and 76.42

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Solution

The fourth proportional to 106.78, 160.26 and 76.42 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 160.26 = 76.42 : x
  2. Step 2: Convert to fraction form
    106.78/160.26 = 76.42/x
  3. Step 3: Cross multiply
    106.78x = 160.26 × 76.42
  4. Step 4: Simplify right side
    106.78x = 12,247.07
  5. Step 5: Solve for x
    x = 12,247.07/106.78
  6. Step 6: Final answer
    x = 114.69

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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.