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Finding the Fourth Proportional to 51.74, 77.51 and 36.49

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Solution

The fourth proportional to 51.74, 77.51 and 36.49 is: 54.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 77.51 = 36.49 : x
  2. Step 2: Convert to fraction form
    51.74/77.51 = 36.49/x
  3. Step 3: Cross multiply
    51.74x = 77.51 × 36.49
  4. Step 4: Simplify right side
    51.74x = 2,828.34
  5. Step 5: Solve for x
    x = 2,828.34/51.74
  6. Step 6: Final answer
    x = 54.66

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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.