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Finding the Fourth Proportional to 179.22, 247.29 and 105.48

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Solution

The fourth proportional to 179.22, 247.29 and 105.48 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.22 : 247.29 = 105.48 : x
  2. Step 2: Convert to fraction form
    179.22/247.29 = 105.48/x
  3. Step 3: Cross multiply
    179.22x = 247.29 × 105.48
  4. Step 4: Simplify right side
    179.22x = 26,084.15
  5. Step 5: Solve for x
    x = 26,084.15/179.22
  6. Step 6: Final answer
    x = 145.54

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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.