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Finding the Fourth Proportional to 120.35, 180.48 and 55.37

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Solution

The fourth proportional to 120.35, 180.48 and 55.37 is: 83.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.35 : 180.48 = 55.37 : x
  2. Step 2: Convert to fraction form
    120.35/180.48 = 55.37/x
  3. Step 3: Cross multiply
    120.35x = 180.48 × 55.37
  4. Step 4: Simplify right side
    120.35x = 9,993.18
  5. Step 5: Solve for x
    x = 9,993.18/120.35
  6. Step 6: Final answer
    x = 83.03

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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.