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Finding the Fourth Proportional to 119.04, 179.43 and 108.24

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Solution

The fourth proportional to 119.04, 179.43 and 108.24 is: 163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.04 : 179.43 = 108.24 : x
  2. Step 2: Convert to fraction form
    119.04/179.43 = 108.24/x
  3. Step 3: Cross multiply
    119.04x = 179.43 × 108.24
  4. Step 4: Simplify right side
    119.04x = 19,421.50
  5. Step 5: Solve for x
    x = 19,421.50/119.04
  6. Step 6: Final answer
    x = 163.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.