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Finding the Fourth Proportional to 97.96, 146.91 and 37.09

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Solution

The fourth proportional to 97.96, 146.91 and 37.09 is: 55.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.96 : 146.91 = 37.09 : x
  2. Step 2: Convert to fraction form
    97.96/146.91 = 37.09/x
  3. Step 3: Cross multiply
    97.96x = 146.91 × 37.09
  4. Step 4: Simplify right side
    97.96x = 5,448.89
  5. Step 5: Solve for x
    x = 5,448.89/97.96
  6. Step 6: Final answer
    x = 55.62

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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.