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Finding the Fourth Proportional to 179.56, 269.32 and 71.31

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Solution

The fourth proportional to 179.56, 269.32 and 71.31 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.56 : 269.32 = 71.31 : x
  2. Step 2: Convert to fraction form
    179.56/269.32 = 71.31/x
  3. Step 3: Cross multiply
    179.56x = 269.32 × 71.31
  4. Step 4: Simplify right side
    179.56x = 19,205.21
  5. Step 5: Solve for x
    x = 19,205.21/179.56
  6. Step 6: Final answer
    x = 106.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.