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Finding the Fourth Proportional to 106.20, 159.19 and 54.81

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Solution

The fourth proportional to 106.20, 159.19 and 54.81 is: 82.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.20 : 159.19 = 54.81 : x
  2. Step 2: Convert to fraction form
    106.20/159.19 = 54.81/x
  3. Step 3: Cross multiply
    106.20x = 159.19 × 54.81
  4. Step 4: Simplify right side
    106.20x = 8,725.20
  5. Step 5: Solve for x
    x = 8,725.20/106.20
  6. Step 6: Final answer
    x = 82.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.