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Finding the Fourth Proportional to 120.61, 165.82 and 107.37

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Solution

The fourth proportional to 120.61, 165.82 and 107.37 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.61 : 165.82 = 107.37 : x
  2. Step 2: Convert to fraction form
    120.61/165.82 = 107.37/x
  3. Step 3: Cross multiply
    120.61x = 165.82 × 107.37
  4. Step 4: Simplify right side
    120.61x = 17,803.95
  5. Step 5: Solve for x
    x = 17,803.95/120.61
  6. Step 6: Final answer
    x = 147.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.