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Finding the Fourth Proportional to 96.06, 132.28 and 85.67

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Solution

The fourth proportional to 96.06, 132.28 and 85.67 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.06 : 132.28 = 85.67 : x
  2. Step 2: Convert to fraction form
    96.06/132.28 = 85.67/x
  3. Step 3: Cross multiply
    96.06x = 132.28 × 85.67
  4. Step 4: Simplify right side
    96.06x = 11,332.43
  5. Step 5: Solve for x
    x = 11,332.43/96.06
  6. Step 6: Final answer
    x = 117.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.