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Finding the Fourth Proportional to 131.19, 181.22 and 106.73

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Solution

The fourth proportional to 131.19, 181.22 and 106.73 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.19 : 181.22 = 106.73 : x
  2. Step 2: Convert to fraction form
    131.19/181.22 = 106.73/x
  3. Step 3: Cross multiply
    131.19x = 181.22 × 106.73
  4. Step 4: Simplify right side
    131.19x = 19,340.17
  5. Step 5: Solve for x
    x = 19,340.17/131.19
  6. Step 6: Final answer
    x = 147.42

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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.