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Finding the Fourth Proportional to 96.54, 144.06 and 85.02

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Solution

The fourth proportional to 96.54, 144.06 and 85.02 is: 126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 144.06 = 85.02 : x
  2. Step 2: Convert to fraction form
    96.54/144.06 = 85.02/x
  3. Step 3: Cross multiply
    96.54x = 144.06 × 85.02
  4. Step 4: Simplify right side
    96.54x = 12,247.98
  5. Step 5: Solve for x
    x = 12,247.98/96.54
  6. Step 6: Final answer
    x = 126.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.