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Finding the Fourth Proportional to 106.90, 160.40 and 68.39

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Solution

The fourth proportional to 106.90, 160.40 and 68.39 is: 102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 160.40 = 68.39 : x
  2. Step 2: Convert to fraction form
    106.90/160.40 = 68.39/x
  3. Step 3: Cross multiply
    106.90x = 160.40 × 68.39
  4. Step 4: Simplify right side
    106.90x = 10,969.41
  5. Step 5: Solve for x
    x = 10,969.41/106.90
  6. Step 6: Final answer
    x = 102.62

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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.