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Finding the Fourth Proportional to 97.69, 146.33 and 78.33

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Solution

The fourth proportional to 97.69, 146.33 and 78.33 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.69 : 146.33 = 78.33 : x
  2. Step 2: Convert to fraction form
    97.69/146.33 = 78.33/x
  3. Step 3: Cross multiply
    97.69x = 146.33 × 78.33
  4. Step 4: Simplify right side
    97.69x = 11,462.03
  5. Step 5: Solve for x
    x = 11,462.03/97.69
  6. Step 6: Final answer
    x = 117.33

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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.