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Finding the Fourth Proportional to 85.18, 127.82 and 54.75

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Solution

The fourth proportional to 85.18, 127.82 and 54.75 is: 82.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.18 : 127.82 = 54.75 : x
  2. Step 2: Convert to fraction form
    85.18/127.82 = 54.75/x
  3. Step 3: Cross multiply
    85.18x = 127.82 × 54.75
  4. Step 4: Simplify right side
    85.18x = 6,998.15
  5. Step 5: Solve for x
    x = 6,998.15/85.18
  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.