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Finding the Fourth Proportional to 106.86, 159.55 and 82.84

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Solution

The fourth proportional to 106.86, 159.55 and 82.84 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 159.55 = 82.84 : x
  2. Step 2: Convert to fraction form
    106.86/159.55 = 82.84/x
  3. Step 3: Cross multiply
    106.86x = 159.55 × 82.84
  4. Step 4: Simplify right side
    106.86x = 13,217.12
  5. Step 5: Solve for x
    x = 13,217.12/106.86
  6. Step 6: Final answer
    x = 123.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.