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Finding the Fourth Proportional to 106.54, 160.22 and 86.29

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Solution

The fourth proportional to 106.54, 160.22 and 86.29 is: 129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 160.22 = 86.29 : x
  2. Step 2: Convert to fraction form
    106.54/160.22 = 86.29/x
  3. Step 3: Cross multiply
    106.54x = 160.22 × 86.29
  4. Step 4: Simplify right side
    106.54x = 13,825.38
  5. Step 5: Solve for x
    x = 13,825.38/106.54
  6. Step 6: Final answer
    x = 129.77

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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.