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Finding the Fourth Proportional to 51.29, 77.37 and 49.67

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Solution

The fourth proportional to 51.29, 77.37 and 49.67 is: 74.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.29 : 77.37 = 49.67 : x
  2. Step 2: Convert to fraction form
    51.29/77.37 = 49.67/x
  3. Step 3: Cross multiply
    51.29x = 77.37 × 49.67
  4. Step 4: Simplify right side
    51.29x = 3,842.72
  5. Step 5: Solve for x
    x = 3,842.72/51.29
  6. Step 6: Final answer
    x = 74.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.