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Finding the Fourth Proportional to 120.23, 180.35 and 37.96

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Solution

The fourth proportional to 120.23, 180.35 and 37.96 is: 56.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 180.35 = 37.96 : x
  2. Step 2: Convert to fraction form
    120.23/180.35 = 37.96/x
  3. Step 3: Cross multiply
    120.23x = 180.35 × 37.96
  4. Step 4: Simplify right side
    120.23x = 6,846.96
  5. Step 5: Solve for x
    x = 6,846.96/120.23
  6. Step 6: Final answer
    x = 56.95

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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.