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Finding the Fourth Proportional to 73.12, 100.91 and 49.76

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Solution

The fourth proportional to 73.12, 100.91 and 49.76 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.12 : 100.91 = 49.76 : x
  2. Step 2: Convert to fraction form
    73.12/100.91 = 49.76/x
  3. Step 3: Cross multiply
    73.12x = 100.91 × 49.76
  4. Step 4: Simplify right side
    73.12x = 5,021.28
  5. Step 5: Solve for x
    x = 5,021.28/73.12
  6. Step 6: Final answer
    x = 68.67

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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.