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Finding the Fourth Proportional to 72.75, 109.09 and 38.53

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Solution

The fourth proportional to 72.75, 109.09 and 38.53 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.75 : 109.09 = 38.53 : x
  2. Step 2: Convert to fraction form
    72.75/109.09 = 38.53/x
  3. Step 3: Cross multiply
    72.75x = 109.09 × 38.53
  4. Step 4: Simplify right side
    72.75x = 4,203.24
  5. Step 5: Solve for x
    x = 4,203.24/72.75
  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.