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Finding the Fourth Proportional to 72.12, 107.33 and 71.37

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Solution

The fourth proportional to 72.12, 107.33 and 71.37 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.12 : 107.33 = 71.37 : x
  2. Step 2: Convert to fraction form
    72.12/107.33 = 71.37/x
  3. Step 3: Cross multiply
    72.12x = 107.33 × 71.37
  4. Step 4: Simplify right side
    72.12x = 7,659.61
  5. Step 5: Solve for x
    x = 7,659.61/72.12
  6. Step 6: Final answer
    x = 106.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.