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Finding the Fourth Proportional to 67.05, 91.76 and 66.47

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Solution

The fourth proportional to 67.05, 91.76 and 66.47 is: 90.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.05 : 91.76 = 66.47 : x
  2. Step 2: Convert to fraction form
    67.05/91.76 = 66.47/x
  3. Step 3: Cross multiply
    67.05x = 91.76 × 66.47
  4. Step 4: Simplify right side
    67.05x = 6,098.50
  5. Step 5: Solve for x
    x = 6,098.50/67.05
  6. Step 6: Final answer
    x = 90.95

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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.