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Finding the Fourth Proportional to 119.54, 165.17 and 102.26

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Solution

The fourth proportional to 119.54, 165.17 and 102.26 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.54 : 165.17 = 102.26 : x
  2. Step 2: Convert to fraction form
    119.54/165.17 = 102.26/x
  3. Step 3: Cross multiply
    119.54x = 165.17 × 102.26
  4. Step 4: Simplify right side
    119.54x = 16,890.28
  5. Step 5: Solve for x
    x = 16,890.28/119.54
  6. Step 6: Final answer
    x = 141.29

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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.