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Finding the Fourth Proportional to 120.28, 179.26 and 116.38

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Solution

The fourth proportional to 120.28, 179.26 and 116.38 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.28 : 179.26 = 116.38 : x
  2. Step 2: Convert to fraction form
    120.28/179.26 = 116.38/x
  3. Step 3: Cross multiply
    120.28x = 179.26 × 116.38
  4. Step 4: Simplify right side
    120.28x = 20,862.28
  5. Step 5: Solve for x
    x = 20,862.28/120.28
  6. Step 6: Final answer
    x = 173.45

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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.