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Finding the Fourth Proportional to 120.72, 180.02 and 116.56

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Solution

The fourth proportional to 120.72, 180.02 and 116.56 is: 173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 180.02 = 116.56 : x
  2. Step 2: Convert to fraction form
    120.72/180.02 = 116.56/x
  3. Step 3: Cross multiply
    120.72x = 180.02 × 116.56
  4. Step 4: Simplify right side
    120.72x = 20,983.13
  5. Step 5: Solve for x
    x = 20,983.13/120.72
  6. Step 6: Final answer
    x = 173.82

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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.