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Finding the Fourth Proportional to 106.97, 160.52 and 70.92

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Solution

The fourth proportional to 106.97, 160.52 and 70.92 is: 106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 160.52 = 70.92 : x
  2. Step 2: Convert to fraction form
    106.97/160.52 = 70.92/x
  3. Step 3: Cross multiply
    106.97x = 160.52 × 70.92
  4. Step 4: Simplify right side
    106.97x = 11,383.72
  5. Step 5: Solve for x
    x = 11,383.72/106.97
  6. Step 6: Final answer
    x = 106.42

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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.