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Finding the Fourth Proportional to 121.80, 182.42 and 97.34

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Solution

The fourth proportional to 121.80, 182.42 and 97.34 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.80 : 182.42 = 97.34 : x
  2. Step 2: Convert to fraction form
    121.80/182.42 = 97.34/x
  3. Step 3: Cross multiply
    121.80x = 182.42 × 97.34
  4. Step 4: Simplify right side
    121.80x = 17,756.76
  5. Step 5: Solve for x
    x = 17,756.76/121.80
  6. Step 6: Final answer
    x = 145.79

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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.