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Finding the Fourth Proportional to 121.61, 182.21 and 106.22

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Solution

The fourth proportional to 121.61, 182.21 and 106.22 is: 159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.61 : 182.21 = 106.22 : x
  2. Step 2: Convert to fraction form
    121.61/182.21 = 106.22/x
  3. Step 3: Cross multiply
    121.61x = 182.21 × 106.22
  4. Step 4: Simplify right side
    121.61x = 19,354.35
  5. Step 5: Solve for x
    x = 19,354.35/121.61
  6. Step 6: Final answer
    x = 159.15

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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.