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Finding the Fourth Proportional to 97.72, 146.49 and 73.78

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Solution

The fourth proportional to 97.72, 146.49 and 73.78 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 146.49 = 73.78 : x
  2. Step 2: Convert to fraction form
    97.72/146.49 = 73.78/x
  3. Step 3: Cross multiply
    97.72x = 146.49 × 73.78
  4. Step 4: Simplify right side
    97.72x = 10,808.03
  5. Step 5: Solve for x
    x = 10,808.03/97.72
  6. Step 6: Final answer
    x = 110.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.