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Finding the Fourth Proportional to 130.43, 179.97 and 81.29

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Solution

The fourth proportional to 130.43, 179.97 and 81.29 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.43 : 179.97 = 81.29 : x
  2. Step 2: Convert to fraction form
    130.43/179.97 = 81.29/x
  3. Step 3: Cross multiply
    130.43x = 179.97 × 81.29
  4. Step 4: Simplify right side
    130.43x = 14,629.76
  5. Step 5: Solve for x
    x = 14,629.76/130.43
  6. Step 6: Final answer
    x = 112.17

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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.