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Finding the Fourth Proportional to 80.16, 119.60 and 73.41

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Solution

The fourth proportional to 80.16, 119.60 and 73.41 is: 109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 119.60 = 73.41 : x
  2. Step 2: Convert to fraction form
    80.16/119.60 = 73.41/x
  3. Step 3: Cross multiply
    80.16x = 119.60 × 73.41
  4. Step 4: Simplify right side
    80.16x = 8,779.47
  5. Step 5: Solve for x
    x = 8,779.47/80.16
  6. Step 6: Final answer
    x = 109.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.