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Finding the Fourth Proportional to 153.10, 229.41 and 80.74

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Solution

The fourth proportional to 153.10, 229.41 and 80.74 is: 120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 229.41 = 80.74 : x
  2. Step 2: Convert to fraction form
    153.10/229.41 = 80.74/x
  3. Step 3: Cross multiply
    153.10x = 229.41 × 80.74
  4. Step 4: Simplify right side
    153.10x = 18,522.56
  5. Step 5: Solve for x
    x = 18,522.56/153.10
  6. Step 6: Final answer
    x = 120.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.