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Finding the Fourth Proportional to 120.83, 165.32 and 120.32

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Solution

The fourth proportional to 120.83, 165.32 and 120.32 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.83 : 165.32 = 120.32 : x
  2. Step 2: Convert to fraction form
    120.83/165.32 = 120.32/x
  3. Step 3: Cross multiply
    120.83x = 165.32 × 120.32
  4. Step 4: Simplify right side
    120.83x = 19,890.70
  5. Step 5: Solve for x
    x = 19,890.70/120.83
  6. Step 6: Final answer
    x = 164.62

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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.