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Finding the Fourth Proportional to 153.41, 229.91 and 80.14

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Solution

The fourth proportional to 153.41, 229.91 and 80.14 is: 120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.41 : 229.91 = 80.14 : x
  2. Step 2: Convert to fraction form
    153.41/229.91 = 80.14/x
  3. Step 3: Cross multiply
    153.41x = 229.91 × 80.14
  4. Step 4: Simplify right side
    153.41x = 18,424.39
  5. Step 5: Solve for x
    x = 18,424.39/153.41
  6. Step 6: Final answer
    x = 120.10

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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.