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Finding the Fourth Proportional to 179.08, 247.10 and 105.37

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Solution

The fourth proportional to 179.08, 247.10 and 105.37 is: 145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 247.10 = 105.37 : x
  2. Step 2: Convert to fraction form
    179.08/247.10 = 105.37/x
  3. Step 3: Cross multiply
    179.08x = 247.10 × 105.37
  4. Step 4: Simplify right side
    179.08x = 26,035.78
  5. Step 5: Solve for x
    x = 26,035.78/179.08
  6. Step 6: Final answer
    x = 145.39

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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.