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Finding the Fourth Proportional to 106.05, 146.28 and 86.37

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Solution

The fourth proportional to 106.05, 146.28 and 86.37 is: 119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.05 : 146.28 = 86.37 : x
  2. Step 2: Convert to fraction form
    106.05/146.28 = 86.37/x
  3. Step 3: Cross multiply
    106.05x = 146.28 × 86.37
  4. Step 4: Simplify right side
    106.05x = 12,634.20
  5. Step 5: Solve for x
    x = 12,634.20/106.05
  6. Step 6: Final answer
    x = 119.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.