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Finding the Fourth Proportional to 179.32, 269.06 and 71.12

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Solution

The fourth proportional to 179.32, 269.06 and 71.12 is: 106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.32 : 269.06 = 71.12 : x
  2. Step 2: Convert to fraction form
    179.32/269.06 = 71.12/x
  3. Step 3: Cross multiply
    179.32x = 269.06 × 71.12
  4. Step 4: Simplify right side
    179.32x = 19,135.55
  5. Step 5: Solve for x
    x = 19,135.55/179.32
  6. Step 6: Final answer
    x = 106.71

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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.