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Finding the Fourth Proportional to 119.44, 180.06 and 106.08

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Solution

The fourth proportional to 119.44, 180.06 and 106.08 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.44 : 180.06 = 106.08 : x
  2. Step 2: Convert to fraction form
    119.44/180.06 = 106.08/x
  3. Step 3: Cross multiply
    119.44x = 180.06 × 106.08
  4. Step 4: Simplify right side
    119.44x = 19,100.76
  5. Step 5: Solve for x
    x = 19,100.76/119.44
  6. Step 6: Final answer
    x = 159.92

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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.