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Finding the Fourth Proportional to 73.91, 102.08 and 50.67

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Solution

The fourth proportional to 73.91, 102.08 and 50.67 is: 69.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.91 : 102.08 = 50.67 : x
  2. Step 2: Convert to fraction form
    73.91/102.08 = 50.67/x
  3. Step 3: Cross multiply
    73.91x = 102.08 × 50.67
  4. Step 4: Simplify right side
    73.91x = 5,172.52
  5. Step 5: Solve for x
    x = 5,172.52/73.91
  6. Step 6: Final answer
    x = 69.98

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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.