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Finding the Fourth Proportional to 72.92, 109.31 and 27.26

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Solution

The fourth proportional to 72.92, 109.31 and 27.26 is: 40.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.92 : 109.31 = 27.26 : x
  2. Step 2: Convert to fraction form
    72.92/109.31 = 27.26/x
  3. Step 3: Cross multiply
    72.92x = 109.31 × 27.26
  4. Step 4: Simplify right side
    72.92x = 2,980.13
  5. Step 5: Solve for x
    x = 2,980.13/72.92
  6. Step 6: Final answer
    x = 40.87

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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.