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Finding the Fourth Proportional to 120.75, 165.62 and 106.17

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Solution

The fourth proportional to 120.75, 165.62 and 106.17 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 165.62 = 106.17 : x
  2. Step 2: Convert to fraction form
    120.75/165.62 = 106.17/x
  3. Step 3: Cross multiply
    120.75x = 165.62 × 106.17
  4. Step 4: Simplify right side
    120.75x = 17,583.34
  5. Step 5: Solve for x
    x = 17,583.34/120.75
  6. Step 6: Final answer
    x = 145.62

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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.