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Finding the Fourth Proportional to 51.22, 76.29 and 49.80

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Solution

The fourth proportional to 51.22, 76.29 and 49.80 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.22 : 76.29 = 49.80 : x
  2. Step 2: Convert to fraction form
    51.22/76.29 = 49.80/x
  3. Step 3: Cross multiply
    51.22x = 76.29 × 49.80
  4. Step 4: Simplify right side
    51.22x = 3,798.99
  5. Step 5: Solve for x
    x = 3,798.99/51.22
  6. Step 6: Final answer
    x = 74.17

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Why These Related Problems?

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