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Finding the Fourth Proportional to 106.76, 160.17 and 55.42

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Solution

The fourth proportional to 106.76, 160.17 and 55.42 is: 83.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.76 : 160.17 = 55.42 : x
  2. Step 2: Convert to fraction form
    106.76/160.17 = 55.42/x
  3. Step 3: Cross multiply
    106.76x = 160.17 × 55.42
  4. Step 4: Simplify right side
    106.76x = 8,876.62
  5. Step 5: Solve for x
    x = 8,876.62/106.76
  6. Step 6: Final answer
    x = 83.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.