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Finding the Fourth Proportional to 179.07, 247.12 and 105.42

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Solution

The fourth proportional to 179.07, 247.12 and 105.42 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.07 : 247.12 = 105.42 : x
  2. Step 2: Convert to fraction form
    179.07/247.12 = 105.42/x
  3. Step 3: Cross multiply
    179.07x = 247.12 × 105.42
  4. Step 4: Simplify right side
    179.07x = 26,052.05
  5. Step 5: Solve for x
    x = 26,052.05/179.07
  6. Step 6: Final answer
    x = 145.49

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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.