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Finding the Fourth Proportional to 72.14, 108.20 and 18.03

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Solution

The fourth proportional to 72.14, 108.20 and 18.03 is: 27.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 108.20 = 18.03 : x
  2. Step 2: Convert to fraction form
    72.14/108.20 = 18.03/x
  3. Step 3: Cross multiply
    72.14x = 108.20 × 18.03
  4. Step 4: Simplify right side
    72.14x = 1,951.13
  5. Step 5: Solve for x
    x = 1,951.13/72.14
  6. Step 6: Final answer
    x = 27.05

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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.