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Finding the Fourth Proportional to 120.20, 165.78 and 76.50

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Solution

The fourth proportional to 120.20, 165.78 and 76.50 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 165.78 = 76.50 : x
  2. Step 2: Convert to fraction form
    120.20/165.78 = 76.50/x
  3. Step 3: Cross multiply
    120.20x = 165.78 × 76.50
  4. Step 4: Simplify right side
    120.20x = 12,682.17
  5. Step 5: Solve for x
    x = 12,682.17/120.20
  6. Step 6: Final answer
    x = 105.51

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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.