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Finding the Fourth Proportional to 130.72, 180.26 and 93.86

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Solution

The fourth proportional to 130.72, 180.26 and 93.86 is: 129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.72 : 180.26 = 93.86 : x
  2. Step 2: Convert to fraction form
    130.72/180.26 = 93.86/x
  3. Step 3: Cross multiply
    130.72x = 180.26 × 93.86
  4. Step 4: Simplify right side
    130.72x = 16,919.20
  5. Step 5: Solve for x
    x = 16,919.20/130.72
  6. Step 6: Final answer
    x = 129.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.