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Finding the Fourth Proportional to 72.68, 108.99 and 42.26

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Solution

The fourth proportional to 72.68, 108.99 and 42.26 is: 63.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.68 : 108.99 = 42.26 : x
  2. Step 2: Convert to fraction form
    72.68/108.99 = 42.26/x
  3. Step 3: Cross multiply
    72.68x = 108.99 × 42.26
  4. Step 4: Simplify right side
    72.68x = 4,605.92
  5. Step 5: Solve for x
    x = 4,605.92/72.68
  6. Step 6: Final answer
    x = 63.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.