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Finding the Fourth Proportional to 72.83, 109.19 and 38.54

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Solution

The fourth proportional to 72.83, 109.19 and 38.54 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.83 : 109.19 = 38.54 : x
  2. Step 2: Convert to fraction form
    72.83/109.19 = 38.54/x
  3. Step 3: Cross multiply
    72.83x = 109.19 × 38.54
  4. Step 4: Simplify right side
    72.83x = 4,207.99
  5. Step 5: Solve for x
    x = 4,207.99/72.83
  6. Step 6: Final answer
    x = 57.78

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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.