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Finding the Fourth Proportional to 80.34, 119.95 and 71.14

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Solution

The fourth proportional to 80.34, 119.95 and 71.14 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 119.95 = 71.14 : x
  2. Step 2: Convert to fraction form
    80.34/119.95 = 71.14/x
  3. Step 3: Cross multiply
    80.34x = 119.95 × 71.14
  4. Step 4: Simplify right side
    80.34x = 8,533.24
  5. Step 5: Solve for x
    x = 8,533.24/80.34
  6. Step 6: Final answer
    x = 106.21

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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.