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Finding the Fourth Proportional to 103.58, 142.89 and 74.42

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Solution

The fourth proportional to 103.58, 142.89 and 74.42 is: 102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.58 : 142.89 = 74.42 : x
  2. Step 2: Convert to fraction form
    103.58/142.89 = 74.42/x
  3. Step 3: Cross multiply
    103.58x = 142.89 × 74.42
  4. Step 4: Simplify right side
    103.58x = 10,633.87
  5. Step 5: Solve for x
    x = 10,633.87/103.58
  6. Step 6: Final answer
    x = 102.66

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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.