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Finding the Fourth Proportional to 121.67, 182.32 and 83.02

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Solution

The fourth proportional to 121.67, 182.32 and 83.02 is: 124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.67 : 182.32 = 83.02 : x
  2. Step 2: Convert to fraction form
    121.67/182.32 = 83.02/x
  3. Step 3: Cross multiply
    121.67x = 182.32 × 83.02
  4. Step 4: Simplify right side
    121.67x = 15,136.21
  5. Step 5: Solve for x
    x = 15,136.21/121.67
  6. Step 6: Final answer
    x = 124.40

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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.