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Finding the Fourth Proportional to 97.67, 146.50 and 25.53

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Solution

The fourth proportional to 97.67, 146.50 and 25.53 is: 38.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.67 : 146.50 = 25.53 : x
  2. Step 2: Convert to fraction form
    97.67/146.50 = 25.53/x
  3. Step 3: Cross multiply
    97.67x = 146.50 × 25.53
  4. Step 4: Simplify right side
    97.67x = 3,739.53
  5. Step 5: Solve for x
    x = 3,739.53/97.67
  6. Step 6: Final answer
    x = 38.29

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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.