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Finding the Fourth Proportional to 97.41, 146.00 and 36.50

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Solution

The fourth proportional to 97.41, 146.00 and 36.50 is: 54.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.41 : 146.00 = 36.50 : x
  2. Step 2: Convert to fraction form
    97.41/146.00 = 36.50/x
  3. Step 3: Cross multiply
    97.41x = 146.00 × 36.50
  4. Step 4: Simplify right side
    97.41x = 5,328.82
  5. Step 5: Solve for x
    x = 5,328.82/97.41
  6. Step 6: Final answer
    x = 54.71

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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.