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Finding the Fourth Proportional to 121.41, 182.07 and 63.63

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Solution

The fourth proportional to 121.41, 182.07 and 63.63 is: 95.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.41 : 182.07 = 63.63 : x
  2. Step 2: Convert to fraction form
    121.41/182.07 = 63.63/x
  3. Step 3: Cross multiply
    121.41x = 182.07 × 63.63
  4. Step 4: Simplify right side
    121.41x = 11,585.11
  5. Step 5: Solve for x
    x = 11,585.11/121.41
  6. Step 6: Final answer
    x = 95.42

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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.