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Finding the Fourth Proportional to 119.31, 179.10 and 71.25

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Solution

The fourth proportional to 119.31, 179.10 and 71.25 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.31 : 179.10 = 71.25 : x
  2. Step 2: Convert to fraction form
    119.31/179.10 = 71.25/x
  3. Step 3: Cross multiply
    119.31x = 179.10 × 71.25
  4. Step 4: Simplify right side
    119.31x = 12,760.88
  5. Step 5: Solve for x
    x = 12,760.88/119.31
  6. Step 6: Final answer
    x = 106.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.