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Finding the Fourth Proportional to 112.54, 168.68 and 54.72

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Solution

The fourth proportional to 112.54, 168.68 and 54.72 is: 82.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.54 : 168.68 = 54.72 : x
  2. Step 2: Convert to fraction form
    112.54/168.68 = 54.72/x
  3. Step 3: Cross multiply
    112.54x = 168.68 × 54.72
  4. Step 4: Simplify right side
    112.54x = 9,229.75
  5. Step 5: Solve for x
    x = 9,229.75/112.54
  6. Step 6: Final answer
    x = 82.01

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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.