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Finding the Fourth Proportional to 72.05, 108.01 and 33.47

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Solution

The fourth proportional to 72.05, 108.01 and 33.47 is: 50.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.05 : 108.01 = 33.47 : x
  2. Step 2: Convert to fraction form
    72.05/108.01 = 33.47/x
  3. Step 3: Cross multiply
    72.05x = 108.01 × 33.47
  4. Step 4: Simplify right side
    72.05x = 3,615.45
  5. Step 5: Solve for x
    x = 3,615.45/72.05
  6. Step 6: Final answer
    x = 50.18

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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.