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Finding the Fourth Proportional to 120.06, 165.66 and 70.95

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Solution

The fourth proportional to 120.06, 165.66 and 70.95 is: 97.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.06 : 165.66 = 70.95 : x
  2. Step 2: Convert to fraction form
    120.06/165.66 = 70.95/x
  3. Step 3: Cross multiply
    120.06x = 165.66 × 70.95
  4. Step 4: Simplify right side
    120.06x = 11,752.75
  5. Step 5: Solve for x
    x = 11,752.75/120.06
  6. Step 6: Final answer
    x = 97.89

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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.