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Finding the Fourth Proportional to 67.20, 91.91 and 66.14

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Solution

The fourth proportional to 67.20, 91.91 and 66.14 is: 90.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.20 : 91.91 = 66.14 : x
  2. Step 2: Convert to fraction form
    67.20/91.91 = 66.14/x
  3. Step 3: Cross multiply
    67.20x = 91.91 × 66.14
  4. Step 4: Simplify right side
    67.20x = 6,078.47
  5. Step 5: Solve for x
    x = 6,078.47/67.20
  6. Step 6: Final answer
    x = 90.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.