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Finding the Fourth Proportional to 109.96, 151.55 and 82.42

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Solution

The fourth proportional to 109.96, 151.55 and 82.42 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 151.55 = 82.42 : x
  2. Step 2: Convert to fraction form
    109.96/151.55 = 82.42/x
  3. Step 3: Cross multiply
    109.96x = 151.55 × 82.42
  4. Step 4: Simplify right side
    109.96x = 12,490.75
  5. Step 5: Solve for x
    x = 12,490.75/109.96
  6. Step 6: Final answer
    x = 113.59

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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.