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Finding the Fourth Proportional to 96.48, 132.41 and 93.78

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Solution

The fourth proportional to 96.48, 132.41 and 93.78 is: 128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.48 : 132.41 = 93.78 : x
  2. Step 2: Convert to fraction form
    96.48/132.41 = 93.78/x
  3. Step 3: Cross multiply
    96.48x = 132.41 × 93.78
  4. Step 4: Simplify right side
    96.48x = 12,417.64
  5. Step 5: Solve for x
    x = 12,417.64/96.48
  6. Step 6: Final answer
    x = 128.71

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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.