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Finding the Fourth Proportional to 101.75, 140.42 and 55.75

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Solution

The fourth proportional to 101.75, 140.42 and 55.75 is: 76.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 140.42 = 55.75 : x
  2. Step 2: Convert to fraction form
    101.75/140.42 = 55.75/x
  3. Step 3: Cross multiply
    101.75x = 140.42 × 55.75
  4. Step 4: Simplify right side
    101.75x = 7,828.14
  5. Step 5: Solve for x
    x = 7,828.14/101.75
  6. Step 6: Final answer
    x = 76.94

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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.