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Finding the Fourth Proportional to 67.45, 101.23 and 66.94

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Solution

The fourth proportional to 67.45, 101.23 and 66.94 is: 100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.45 : 101.23 = 66.94 : x
  2. Step 2: Convert to fraction form
    67.45/101.23 = 66.94/x
  3. Step 3: Cross multiply
    67.45x = 101.23 × 66.94
  4. Step 4: Simplify right side
    67.45x = 6,776.00
  5. Step 5: Solve for x
    x = 6,776.00/67.45
  6. Step 6: Final answer
    x = 100.46

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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.