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Finding the Fourth Proportional to 130.27, 179.74 and 77.82

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Solution

The fourth proportional to 130.27, 179.74 and 77.82 is: 107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.27 : 179.74 = 77.82 : x
  2. Step 2: Convert to fraction form
    130.27/179.74 = 77.82/x
  3. Step 3: Cross multiply
    130.27x = 179.74 × 77.82
  4. Step 4: Simplify right side
    130.27x = 13,987.37
  5. Step 5: Solve for x
    x = 13,987.37/130.27
  6. Step 6: Final answer
    x = 107.37

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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.