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Finding the Fourth Proportional to 116.59, 174.60 and 80.41

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Solution

The fourth proportional to 116.59, 174.60 and 80.41 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.59 : 174.60 = 80.41 : x
  2. Step 2: Convert to fraction form
    116.59/174.60 = 80.41/x
  3. Step 3: Cross multiply
    116.59x = 174.60 × 80.41
  4. Step 4: Simplify right side
    116.59x = 14,039.59
  5. Step 5: Solve for x
    x = 14,039.59/116.59
  6. Step 6: Final answer
    x = 120.42

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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.