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Finding the Fourth Proportional to 120.24, 180.33 and 65.33

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Solution

The fourth proportional to 120.24, 180.33 and 65.33 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.33 = 65.33 : x
  2. Step 2: Convert to fraction form
    120.24/180.33 = 65.33/x
  3. Step 3: Cross multiply
    120.24x = 180.33 × 65.33
  4. Step 4: Simplify right side
    120.24x = 11,780.96
  5. Step 5: Solve for x
    x = 11,780.96/120.24
  6. Step 6: Final answer
    x = 97.98

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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.