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Finding the Fourth Proportional to 97.89, 146.73 and 49.80

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Solution

The fourth proportional to 97.89, 146.73 and 49.80 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.89 : 146.73 = 49.80 : x
  2. Step 2: Convert to fraction form
    97.89/146.73 = 49.80/x
  3. Step 3: Cross multiply
    97.89x = 146.73 × 49.80
  4. Step 4: Simplify right side
    97.89x = 7,307.15
  5. Step 5: Solve for x
    x = 7,307.15/97.89
  6. Step 6: Final answer
    x = 74.65

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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.