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Finding the Fourth Proportional to 121.87, 182.95 and 96.28

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Solution

The fourth proportional to 121.87, 182.95 and 96.28 is: 144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.87 : 182.95 = 96.28 : x
  2. Step 2: Convert to fraction form
    121.87/182.95 = 96.28/x
  3. Step 3: Cross multiply
    121.87x = 182.95 × 96.28
  4. Step 4: Simplify right side
    121.87x = 17,613.73
  5. Step 5: Solve for x
    x = 17,613.73/121.87
  6. Step 6: Final answer
    x = 144.53

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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.