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Finding the Fourth Proportional to 106.88, 160.22 and 76

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Solution

The fourth proportional to 106.88, 160.22 and 76 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 160.22 = 76 : x
  2. Step 2: Convert to fraction form
    106.88/160.22 = 76/x
  3. Step 3: Cross multiply
    106.88x = 160.22 × 76
  4. Step 4: Simplify right side
    106.88x = 12,176.72
  5. Step 5: Solve for x
    x = 12,176.72/106.88
  6. Step 6: Final answer
    x = 113.93

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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.