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Finding the Fourth Proportional to 179.09, 247.05 and 116.05

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Solution

The fourth proportional to 179.09, 247.05 and 116.05 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.09 : 247.05 = 116.05 : x
  2. Step 2: Convert to fraction form
    179.09/247.05 = 116.05/x
  3. Step 3: Cross multiply
    179.09x = 247.05 × 116.05
  4. Step 4: Simplify right side
    179.09x = 28,670.15
  5. Step 5: Solve for x
    x = 28,670.15/179.09
  6. Step 6: Final answer
    x = 160.09

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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.