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Finding the Fourth Proportional to 119.52, 164.52 and 103.05

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Solution

The fourth proportional to 119.52, 164.52 and 103.05 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.52 : 164.52 = 103.05 : x
  2. Step 2: Convert to fraction form
    119.52/164.52 = 103.05/x
  3. Step 3: Cross multiply
    119.52x = 164.52 × 103.05
  4. Step 4: Simplify right side
    119.52x = 16,953.79
  5. Step 5: Solve for x
    x = 16,953.79/119.52
  6. Step 6: Final answer
    x = 141.85

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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.