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Finding the Fourth Proportional to 96.11, 144.03 and 86.93

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Solution

The fourth proportional to 96.11, 144.03 and 86.93 is: 130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.11 : 144.03 = 86.93 : x
  2. Step 2: Convert to fraction form
    96.11/144.03 = 86.93/x
  3. Step 3: Cross multiply
    96.11x = 144.03 × 86.93
  4. Step 4: Simplify right side
    96.11x = 12,520.53
  5. Step 5: Solve for x
    x = 12,520.53/96.11
  6. Step 6: Final answer
    x = 130.27

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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.