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Finding the Fourth Proportional to 119.64, 179.54 and 55.48

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Solution

The fourth proportional to 119.64, 179.54 and 55.48 is: 83.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 179.54 = 55.48 : x
  2. Step 2: Convert to fraction form
    119.64/179.54 = 55.48/x
  3. Step 3: Cross multiply
    119.64x = 179.54 × 55.48
  4. Step 4: Simplify right side
    119.64x = 9,960.88
  5. Step 5: Solve for x
    x = 9,960.88/119.64
  6. Step 6: Final answer
    x = 83.26

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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.