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Finding the Fourth Proportional to 120.26, 180.41 and 55.28

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Solution

The fourth proportional to 120.26, 180.41 and 55.28 is: 82.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 180.41 = 55.28 : x
  2. Step 2: Convert to fraction form
    120.26/180.41 = 55.28/x
  3. Step 3: Cross multiply
    120.26x = 180.41 × 55.28
  4. Step 4: Simplify right side
    120.26x = 9,973.24
  5. Step 5: Solve for x
    x = 9,973.24/120.26
  6. Step 6: Final answer
    x = 82.93

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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.