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Finding the Fourth Proportional to 72.86, 109.23 and 27.20

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Solution

The fourth proportional to 72.86, 109.23 and 27.20 is: 40.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.86 : 109.23 = 27.20 : x
  2. Step 2: Convert to fraction form
    72.86/109.23 = 27.20/x
  3. Step 3: Cross multiply
    72.86x = 109.23 × 27.20
  4. Step 4: Simplify right side
    72.86x = 2,971.38
  5. Step 5: Solve for x
    x = 2,971.38/72.86
  6. Step 6: Final answer
    x = 40.78

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Why These Related Problems?

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