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Finding the Fourth Proportional to 179.15, 247.21 and 105.46

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Solution

The fourth proportional to 179.15, 247.21 and 105.46 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.15 : 247.21 = 105.46 : x
  2. Step 2: Convert to fraction form
    179.15/247.21 = 105.46/x
  3. Step 3: Cross multiply
    179.15x = 247.21 × 105.46
  4. Step 4: Simplify right side
    179.15x = 26,070.77
  5. Step 5: Solve for x
    x = 26,070.77/179.15
  6. Step 6: Final answer
    x = 145.52

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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.