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Finding the Fourth Proportional to 130.06, 179.43 and 80.92

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Solution

The fourth proportional to 130.06, 179.43 and 80.92 is: 111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 179.43 = 80.92 : x
  2. Step 2: Convert to fraction form
    130.06/179.43 = 80.92/x
  3. Step 3: Cross multiply
    130.06x = 179.43 × 80.92
  4. Step 4: Simplify right side
    130.06x = 14,518.58
  5. Step 5: Solve for x
    x = 14,518.58/130.06
  6. Step 6: Final answer
    x = 111.63

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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.