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Finding the Fourth Proportional to 96, 143.64 and 85.76

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Solution

The fourth proportional to 96, 143.64 and 85.76 is: 128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 143.64 = 85.76 : x
  2. Step 2: Convert to fraction form
    96/143.64 = 85.76/x
  3. Step 3: Cross multiply
    96x = 143.64 × 85.76
  4. Step 4: Simplify right side
    96x = 12,318.57
  5. Step 5: Solve for x
    x = 12,318.57/96
  6. Step 6: Final answer
    x = 128.32

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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.