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Finding the Fourth Proportional to 103.97, 142.51 and 102.60

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Solution

The fourth proportional to 103.97, 142.51 and 102.60 is: 140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 142.51 = 102.60 : x
  2. Step 2: Convert to fraction form
    103.97/142.51 = 102.60/x
  3. Step 3: Cross multiply
    103.97x = 142.51 × 102.60
  4. Step 4: Simplify right side
    103.97x = 14,621.53
  5. Step 5: Solve for x
    x = 14,621.53/103.97
  6. Step 6: Final answer
    x = 140.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.