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Finding the Fourth Proportional to 130.72, 197.23 and 129.64

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Solution

The fourth proportional to 130.72, 197.23 and 129.64 is: 195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.72 : 197.23 = 129.64 : x
  2. Step 2: Convert to fraction form
    130.72/197.23 = 129.64/x
  3. Step 3: Cross multiply
    130.72x = 197.23 × 129.64
  4. Step 4: Simplify right side
    130.72x = 25,568.90
  5. Step 5: Solve for x
    x = 25,568.90/130.72
  6. Step 6: Final answer
    x = 195.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.