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Finding the Fourth Proportional to 103.74, 142.49 and 93.52

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Solution

The fourth proportional to 103.74, 142.49 and 93.52 is: 128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.74 : 142.49 = 93.52 : x
  2. Step 2: Convert to fraction form
    103.74/142.49 = 93.52/x
  3. Step 3: Cross multiply
    103.74x = 142.49 × 93.52
  4. Step 4: Simplify right side
    103.74x = 13,325.66
  5. Step 5: Solve for x
    x = 13,325.66/103.74
  6. Step 6: Final answer
    x = 128.45

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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.