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Finding the Fourth Proportional to 119.96, 165.57 and 70.85

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Solution

The fourth proportional to 119.96, 165.57 and 70.85 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.96 : 165.57 = 70.85 : x
  2. Step 2: Convert to fraction form
    119.96/165.57 = 70.85/x
  3. Step 3: Cross multiply
    119.96x = 165.57 × 70.85
  4. Step 4: Simplify right side
    119.96x = 11,730.78
  5. Step 5: Solve for x
    x = 11,730.78/119.96
  6. Step 6: Final answer
    x = 97.79

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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.