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Finding the Fourth Proportional to 68.68, 102.40 and 66.94

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Solution

The fourth proportional to 68.68, 102.40 and 66.94 is: 99.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.68 : 102.40 = 66.94 : x
  2. Step 2: Convert to fraction form
    68.68/102.40 = 66.94/x
  3. Step 3: Cross multiply
    68.68x = 102.40 × 66.94
  4. Step 4: Simplify right side
    68.68x = 6,854.66
  5. Step 5: Solve for x
    x = 6,854.66/68.68
  6. Step 6: Final answer
    x = 99.81

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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.