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Finding the Fourth Proportional to 71.54, 107.36 and 55.33

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Solution

The fourth proportional to 71.54, 107.36 and 55.33 is: 83.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.54 : 107.36 = 55.33 : x
  2. Step 2: Convert to fraction form
    71.54/107.36 = 55.33/x
  3. Step 3: Cross multiply
    71.54x = 107.36 × 55.33
  4. Step 4: Simplify right side
    71.54x = 5,939.42
  5. Step 5: Solve for x
    x = 5,939.42/71.54
  6. Step 6: Final answer
    x = 83.03

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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.