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Finding the Fourth Proportional to 96.02, 131.79 and 85.42

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Solution

The fourth proportional to 96.02, 131.79 and 85.42 is: 117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 131.79 = 85.42 : x
  2. Step 2: Convert to fraction form
    96.02/131.79 = 85.42/x
  3. Step 3: Cross multiply
    96.02x = 131.79 × 85.42
  4. Step 4: Simplify right side
    96.02x = 11,257.50
  5. Step 5: Solve for x
    x = 11,257.50/96.02
  6. Step 6: Final answer
    x = 117.24

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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.