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Finding the Fourth Proportional to 121.68, 182.82 and 106.02

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Solution

The fourth proportional to 121.68, 182.82 and 106.02 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.68 : 182.82 = 106.02 : x
  2. Step 2: Convert to fraction form
    121.68/182.82 = 106.02/x
  3. Step 3: Cross multiply
    121.68x = 182.82 × 106.02
  4. Step 4: Simplify right side
    121.68x = 19,382.58
  5. Step 5: Solve for x
    x = 19,382.58/121.68
  6. Step 6: Final answer
    x = 159.29

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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.