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Finding the Fourth Proportional to 130.31, 179.72 and 83.69

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Solution

The fourth proportional to 130.31, 179.72 and 83.69 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 179.72 = 83.69 : x
  2. Step 2: Convert to fraction form
    130.31/179.72 = 83.69/x
  3. Step 3: Cross multiply
    130.31x = 179.72 × 83.69
  4. Step 4: Simplify right side
    130.31x = 15,040.49
  5. Step 5: Solve for x
    x = 15,040.49/130.31
  6. Step 6: Final answer
    x = 115.42

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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.