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Finding the Fourth Proportional to 103.75, 142.97 and 88.97

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Solution

The fourth proportional to 103.75, 142.97 and 88.97 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.75 : 142.97 = 88.97 : x
  2. Step 2: Convert to fraction form
    103.75/142.97 = 88.97/x
  3. Step 3: Cross multiply
    103.75x = 142.97 × 88.97
  4. Step 4: Simplify right side
    103.75x = 12,718.88
  5. Step 5: Solve for x
    x = 12,718.88/103.75
  6. Step 6: Final answer
    x = 122.59

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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.