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Finding the Fourth Proportional to 96.57, 133.86 and 93.21

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Solution

The fourth proportional to 96.57, 133.86 and 93.21 is: 129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 133.86 = 93.21 : x
  2. Step 2: Convert to fraction form
    96.57/133.86 = 93.21/x
  3. Step 3: Cross multiply
    96.57x = 133.86 × 93.21
  4. Step 4: Simplify right side
    96.57x = 12,477.09
  5. Step 5: Solve for x
    x = 12,477.09/96.57
  6. Step 6: Final answer
    x = 129.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.