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Finding the Fourth Proportional to 72.67, 109.02 and 29.34

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Solution

The fourth proportional to 72.67, 109.02 and 29.34 is: 44.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.67 : 109.02 = 29.34 : x
  2. Step 2: Convert to fraction form
    72.67/109.02 = 29.34/x
  3. Step 3: Cross multiply
    72.67x = 109.02 × 29.34
  4. Step 4: Simplify right side
    72.67x = 3,198.65
  5. Step 5: Solve for x
    x = 3,198.65/72.67
  6. Step 6: Final answer
    x = 44.02

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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.