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Finding the Fourth Proportional to 96.74, 144.98 and 85.89

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Solution

The fourth proportional to 96.74, 144.98 and 85.89 is: 128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 144.98 = 85.89 : x
  2. Step 2: Convert to fraction form
    96.74/144.98 = 85.89/x
  3. Step 3: Cross multiply
    96.74x = 144.98 × 85.89
  4. Step 4: Simplify right side
    96.74x = 12,452.22
  5. Step 5: Solve for x
    x = 12,452.22/96.74
  6. Step 6: Final answer
    x = 128.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.