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Finding the Fourth Proportional to 130.73, 180.32 and 81.57

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Solution

The fourth proportional to 130.73, 180.32 and 81.57 is: 112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.73 : 180.32 = 81.57 : x
  2. Step 2: Convert to fraction form
    130.73/180.32 = 81.57/x
  3. Step 3: Cross multiply
    130.73x = 180.32 × 81.57
  4. Step 4: Simplify right side
    130.73x = 14,708.29
  5. Step 5: Solve for x
    x = 14,708.29/130.73
  6. Step 6: Final answer
    x = 112.51

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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.