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Finding the Fourth Proportional to 96.42, 143.94 and 83.67

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Solution

The fourth proportional to 96.42, 143.94 and 83.67 is: 124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 143.94 = 83.67 : x
  2. Step 2: Convert to fraction form
    96.42/143.94 = 83.67/x
  3. Step 3: Cross multiply
    96.42x = 143.94 × 83.67
  4. Step 4: Simplify right side
    96.42x = 12,043.46
  5. Step 5: Solve for x
    x = 12,043.46/96.42
  6. Step 6: Final answer
    x = 124.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.