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Finding the Fourth Proportional to 120.14, 180.14 and 51.64

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Solution

The fourth proportional to 120.14, 180.14 and 51.64 is: 77.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 180.14 = 51.64 : x
  2. Step 2: Convert to fraction form
    120.14/180.14 = 51.64/x
  3. Step 3: Cross multiply
    120.14x = 180.14 × 51.64
  4. Step 4: Simplify right side
    120.14x = 9,302.43
  5. Step 5: Solve for x
    x = 9,302.43/120.14
  6. Step 6: Final answer
    x = 77.43

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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.