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Finding the Fourth Proportional to 106.76, 160 and 68.28

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Solution

The fourth proportional to 106.76, 160 and 68.28 is: 102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.76 : 160 = 68.28 : x
  2. Step 2: Convert to fraction form
    106.76/160 = 68.28/x
  3. Step 3: Cross multiply
    106.76x = 160 × 68.28
  4. Step 4: Simplify right side
    106.76x = 10,924.80
  5. Step 5: Solve for x
    x = 10,924.80/106.76
  6. Step 6: Final answer
    x = 102.33

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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.