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Finding the Fourth Proportional to 120.41, 180.65 and 66.29

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Solution

The fourth proportional to 120.41, 180.65 and 66.29 is: 99.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.41 : 180.65 = 66.29 : x
  2. Step 2: Convert to fraction form
    120.41/180.65 = 66.29/x
  3. Step 3: Cross multiply
    120.41x = 180.65 × 66.29
  4. Step 4: Simplify right side
    120.41x = 11,974.05
  5. Step 5: Solve for x
    x = 11,974.05/120.41
  6. Step 6: Final answer
    x = 99.45

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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.