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Finding the Fourth Proportional to 120.07, 165.55 and 103.68

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Solution

The fourth proportional to 120.07, 165.55 and 103.68 is: 142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.07 : 165.55 = 103.68 : x
  2. Step 2: Convert to fraction form
    120.07/165.55 = 103.68/x
  3. Step 3: Cross multiply
    120.07x = 165.55 × 103.68
  4. Step 4: Simplify right side
    120.07x = 17,164.22
  5. Step 5: Solve for x
    x = 17,164.22/120.07
  6. Step 6: Final answer
    x = 142.95

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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.