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Finding the Fourth Proportional to 68.43, 102.02 and 66.69

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Solution

The fourth proportional to 68.43, 102.02 and 66.69 is: 99.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.43 : 102.02 = 66.69 : x
  2. Step 2: Convert to fraction form
    68.43/102.02 = 66.69/x
  3. Step 3: Cross multiply
    68.43x = 102.02 × 66.69
  4. Step 4: Simplify right side
    68.43x = 6,803.88
  5. Step 5: Solve for x
    x = 6,803.88/68.43
  6. Step 6: Final answer
    x = 99.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.