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Finding the Fourth Proportional to 96.46, 144.26 and 85.70

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Solution

The fourth proportional to 96.46, 144.26 and 85.70 is: 128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.46 : 144.26 = 85.70 : x
  2. Step 2: Convert to fraction form
    96.46/144.26 = 85.70/x
  3. Step 3: Cross multiply
    96.46x = 144.26 × 85.70
  4. Step 4: Simplify right side
    96.46x = 12,362.85
  5. Step 5: Solve for x
    x = 12,362.85/96.46
  6. Step 6: Final answer
    x = 128.16

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