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Finding the Fourth Proportional to 120.61, 180.86 and 56.44

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Solution

The fourth proportional to 120.61, 180.86 and 56.44 is: 84.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.61 : 180.86 = 56.44 : x
  2. Step 2: Convert to fraction form
    120.61/180.86 = 56.44/x
  3. Step 3: Cross multiply
    120.61x = 180.86 × 56.44
  4. Step 4: Simplify right side
    120.61x = 10,207.43
  5. Step 5: Solve for x
    x = 10,207.43/120.61
  6. Step 6: Final answer
    x = 84.63

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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.