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Finding the Fourth Proportional to 130.68, 195.74 and 120.60

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Solution

The fourth proportional to 130.68, 195.74 and 120.60 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.68 : 195.74 = 120.60 : x
  2. Step 2: Convert to fraction form
    130.68/195.74 = 120.60/x
  3. Step 3: Cross multiply
    130.68x = 195.74 × 120.60
  4. Step 4: Simplify right side
    130.68x = 23,606.24
  5. Step 5: Solve for x
    x = 23,606.24/130.68
  6. Step 6: Final answer
    x = 180.64

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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.