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Finding the Fourth Proportional to 120.25, 180.06 and 85.78

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Solution

The fourth proportional to 120.25, 180.06 and 85.78 is: 128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.25 : 180.06 = 85.78 : x
  2. Step 2: Convert to fraction form
    120.25/180.06 = 85.78/x
  3. Step 3: Cross multiply
    120.25x = 180.06 × 85.78
  4. Step 4: Simplify right side
    120.25x = 15,445.55
  5. Step 5: Solve for x
    x = 15,445.55/120.25
  6. Step 6: Final answer
    x = 128.45

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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.