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Finding the Fourth Proportional to 120.30, 165.78 and 102.76

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Solution

The fourth proportional to 120.30, 165.78 and 102.76 is: 141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.30 : 165.78 = 102.76 : x
  2. Step 2: Convert to fraction form
    120.30/165.78 = 102.76/x
  3. Step 3: Cross multiply
    120.30x = 165.78 × 102.76
  4. Step 4: Simplify right side
    120.30x = 17,035.55
  5. Step 5: Solve for x
    x = 17,035.55/120.30
  6. Step 6: Final answer
    x = 141.61

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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.