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Finding the Fourth Proportional to 103.58, 142.08 and 97.37

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Solution

The fourth proportional to 103.58, 142.08 and 97.37 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.58 : 142.08 = 97.37 : x
  2. Step 2: Convert to fraction form
    103.58/142.08 = 97.37/x
  3. Step 3: Cross multiply
    103.58x = 142.08 × 97.37
  4. Step 4: Simplify right side
    103.58x = 13,833.62
  5. Step 5: Solve for x
    x = 13,833.62/103.58
  6. Step 6: Final answer
    x = 133.56

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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.