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Finding the Fourth Proportional to 96.72, 133.28 and 84.48

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Solution

The fourth proportional to 96.72, 133.28 and 84.48 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.72 : 133.28 = 84.48 : x
  2. Step 2: Convert to fraction form
    96.72/133.28 = 84.48/x
  3. Step 3: Cross multiply
    96.72x = 133.28 × 84.48
  4. Step 4: Simplify right side
    96.72x = 11,259.49
  5. Step 5: Solve for x
    x = 11,259.49/96.72
  6. Step 6: Final answer
    x = 116.41

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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.