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Finding the Fourth Proportional to 97.78, 146.44 and 73.30

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Solution

The fourth proportional to 97.78, 146.44 and 73.30 is: 109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 146.44 = 73.30 : x
  2. Step 2: Convert to fraction form
    97.78/146.44 = 73.30/x
  3. Step 3: Cross multiply
    97.78x = 146.44 × 73.30
  4. Step 4: Simplify right side
    97.78x = 10,734.05
  5. Step 5: Solve for x
    x = 10,734.05/97.78
  6. Step 6: Final answer
    x = 109.78

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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.