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Finding the Fourth Proportional to 101.42, 140.02 and 68.72

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Solution

The fourth proportional to 101.42, 140.02 and 68.72 is: 94.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.42 : 140.02 = 68.72 : x
  2. Step 2: Convert to fraction form
    101.42/140.02 = 68.72/x
  3. Step 3: Cross multiply
    101.42x = 140.02 × 68.72
  4. Step 4: Simplify right side
    101.42x = 9,622.17
  5. Step 5: Solve for x
    x = 9,622.17/101.42
  6. Step 6: Final answer
    x = 94.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.