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Finding the Fourth Proportional to 106.12, 160.27 and 106.12

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Solution

The fourth proportional to 106.12, 160.27 and 106.12 is: 160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 160.27 = 106.12 : x
  2. Step 2: Convert to fraction form
    106.12/160.27 = 106.12/x
  3. Step 3: Cross multiply
    106.12x = 160.27 × 106.12
  4. Step 4: Simplify right side
    106.12x = 17,007.85
  5. Step 5: Solve for x
    x = 17,007.85/106.12
  6. Step 6: Final answer
    x = 160.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.