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Finding the Fourth Proportional to 94.91, 142.18 and 75.67

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Solution

The fourth proportional to 94.91, 142.18 and 75.67 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.91 : 142.18 = 75.67 : x
  2. Step 2: Convert to fraction form
    94.91/142.18 = 75.67/x
  3. Step 3: Cross multiply
    94.91x = 142.18 × 75.67
  4. Step 4: Simplify right side
    94.91x = 10,758.76
  5. Step 5: Solve for x
    x = 10,758.76/94.91
  6. Step 6: Final answer
    x = 113.36

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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.