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Finding the Fourth Proportional to 75.11, 104.18 and 72.37

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Solution

The fourth proportional to 75.11, 104.18 and 72.37 is: 100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.11 : 104.18 = 72.37 : x
  2. Step 2: Convert to fraction form
    75.11/104.18 = 72.37/x
  3. Step 3: Cross multiply
    75.11x = 104.18 × 72.37
  4. Step 4: Simplify right side
    75.11x = 7,539.27
  5. Step 5: Solve for x
    x = 7,539.27/75.11
  6. Step 6: Final answer
    x = 100.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.