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Finding the Fourth Proportional to 67.54, 93.09 and 58.29

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Solution

The fourth proportional to 67.54, 93.09 and 58.29 is: 80.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.54 : 93.09 = 58.29 : x
  2. Step 2: Convert to fraction form
    67.54/93.09 = 58.29/x
  3. Step 3: Cross multiply
    67.54x = 93.09 × 58.29
  4. Step 4: Simplify right side
    67.54x = 5,425.75
  5. Step 5: Solve for x
    x = 5,425.75/67.54
  6. Step 6: Final answer
    x = 80.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.