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Finding the Fourth Proportional to 96.05, 144.60 and 86.13

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Solution

The fourth proportional to 96.05, 144.60 and 86.13 is: 129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 144.60 = 86.13 : x
  2. Step 2: Convert to fraction form
    96.05/144.60 = 86.13/x
  3. Step 3: Cross multiply
    96.05x = 144.60 × 86.13
  4. Step 4: Simplify right side
    96.05x = 12,453.24
  5. Step 5: Solve for x
    x = 12,453.24/96.05
  6. Step 6: Final answer
    x = 129.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.