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Finding the Fourth Proportional to 179.09, 247.14 and 100.42

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Solution

The fourth proportional to 179.09, 247.14 and 100.42 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.09 : 247.14 = 100.42 : x
  2. Step 2: Convert to fraction form
    179.09/247.14 = 100.42/x
  3. Step 3: Cross multiply
    179.09x = 247.14 × 100.42
  4. Step 4: Simplify right side
    179.09x = 24,817.80
  5. Step 5: Solve for x
    x = 24,817.80/179.09
  6. Step 6: Final answer
    x = 138.58

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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.