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Finding the Fourth Proportional to 96.63, 133.56 and 85.83

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Solution

The fourth proportional to 96.63, 133.56 and 85.83 is: 118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.63 : 133.56 = 85.83 : x
  2. Step 2: Convert to fraction form
    96.63/133.56 = 85.83/x
  3. Step 3: Cross multiply
    96.63x = 133.56 × 85.83
  4. Step 4: Simplify right side
    96.63x = 11,463.45
  5. Step 5: Solve for x
    x = 11,463.45/96.63
  6. Step 6: Final answer
    x = 118.63

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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.