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Finding the Fourth Proportional to 72.20, 109.00 and 71.80

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Solution

The fourth proportional to 72.20, 109.00 and 71.80 is: 108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.20 : 109.00 = 71.80 : x
  2. Step 2: Convert to fraction form
    72.20/109.00 = 71.80/x
  3. Step 3: Cross multiply
    72.20x = 109.00 × 71.80
  4. Step 4: Simplify right side
    72.20x = 7,825.61
  5. Step 5: Solve for x
    x = 7,825.61/72.20
  6. Step 6: Final answer
    x = 108.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.