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Finding the Fourth Proportional to 120.69, 180.04 and 116.48

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Solution

The fourth proportional to 120.69, 180.04 and 116.48 is: 173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.69 : 180.04 = 116.48 : x
  2. Step 2: Convert to fraction form
    120.69/180.04 = 116.48/x
  3. Step 3: Cross multiply
    120.69x = 180.04 × 116.48
  4. Step 4: Simplify right side
    120.69x = 20,971.06
  5. Step 5: Solve for x
    x = 20,971.06/120.69
  6. Step 6: Final answer
    x = 173.76

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Why These Related Problems?

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