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Finding the Fourth Proportional to 67.80, 93.66 and 60.06

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Solution

The fourth proportional to 67.80, 93.66 and 60.06 is: 82.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.80 : 93.66 = 60.06 : x
  2. Step 2: Convert to fraction form
    67.80/93.66 = 60.06/x
  3. Step 3: Cross multiply
    67.80x = 93.66 × 60.06
  4. Step 4: Simplify right side
    67.80x = 5,625.22
  5. Step 5: Solve for x
    x = 5,625.22/67.80
  6. Step 6: Final answer
    x = 82.97

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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.