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Finding the Fourth Proportional to 121.25, 182.81 and 97.49

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Solution

The fourth proportional to 121.25, 182.81 and 97.49 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.25 : 182.81 = 97.49 : x
  2. Step 2: Convert to fraction form
    121.25/182.81 = 97.49/x
  3. Step 3: Cross multiply
    121.25x = 182.81 × 97.49
  4. Step 4: Simplify right side
    121.25x = 17,822.15
  5. Step 5: Solve for x
    x = 17,822.15/121.25
  6. Step 6: Final answer
    x = 146.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.