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Finding the Fourth Proportional to 130.72, 180.42 and 81.57

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Solution

The fourth proportional to 130.72, 180.42 and 81.57 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.72 : 180.42 = 81.57 : x
  2. Step 2: Convert to fraction form
    130.72/180.42 = 81.57/x
  3. Step 3: Cross multiply
    130.72x = 180.42 × 81.57
  4. Step 4: Simplify right side
    130.72x = 14,716.86
  5. Step 5: Solve for x
    x = 14,716.86/130.72
  6. Step 6: Final answer
    x = 112.58

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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.