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Finding the Fourth Proportional to 101.75, 141.38 and 100.68

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Solution

The fourth proportional to 101.75, 141.38 and 100.68 is: 139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 141.38 = 100.68 : x
  2. Step 2: Convert to fraction form
    101.75/141.38 = 100.68/x
  3. Step 3: Cross multiply
    101.75x = 141.38 × 100.68
  4. Step 4: Simplify right side
    101.75x = 14,233.64
  5. Step 5: Solve for x
    x = 14,233.64/101.75
  6. Step 6: Final answer
    x = 139.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.