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Finding the Fourth Proportional to 119.43, 164.70 and 102.96

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Solution

The fourth proportional to 119.43, 164.70 and 102.96 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.43 : 164.70 = 102.96 : x
  2. Step 2: Convert to fraction form
    119.43/164.70 = 102.96/x
  3. Step 3: Cross multiply
    119.43x = 164.70 × 102.96
  4. Step 4: Simplify right side
    119.43x = 16,957.51
  5. Step 5: Solve for x
    x = 16,957.51/119.43
  6. Step 6: Final answer
    x = 141.99

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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.