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Finding the Fourth Proportional to 120.22, 180.32 and 51.71

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Solution

The fourth proportional to 120.22, 180.32 and 51.71 is: 77.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 180.32 = 51.71 : x
  2. Step 2: Convert to fraction form
    120.22/180.32 = 51.71/x
  3. Step 3: Cross multiply
    120.22x = 180.32 × 51.71
  4. Step 4: Simplify right side
    120.22x = 9,323.19
  5. Step 5: Solve for x
    x = 9,323.19/120.22
  6. Step 6: Final answer
    x = 77.55

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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.