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Finding the Fourth Proportional to 106.05, 146.32 and 95.73

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Solution

The fourth proportional to 106.05, 146.32 and 95.73 is: 132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.05 : 146.32 = 95.73 : x
  2. Step 2: Convert to fraction form
    106.05/146.32 = 95.73/x
  3. Step 3: Cross multiply
    106.05x = 146.32 × 95.73
  4. Step 4: Simplify right side
    106.05x = 14,007.21
  5. Step 5: Solve for x
    x = 14,007.21/106.05
  6. Step 6: Final answer
    x = 132.08

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Why These Related Problems?

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