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Finding the Fourth Proportional to 103.28, 142.72 and 96.08

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Solution

The fourth proportional to 103.28, 142.72 and 96.08 is: 132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 142.72 = 96.08 : x
  2. Step 2: Convert to fraction form
    103.28/142.72 = 96.08/x
  3. Step 3: Cross multiply
    103.28x = 142.72 × 96.08
  4. Step 4: Simplify right side
    103.28x = 13,712.54
  5. Step 5: Solve for x
    x = 13,712.54/103.28
  6. Step 6: Final answer
    x = 132.77

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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.