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Finding the Fourth Proportional to 51.16, 76.31 and 49.56

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Solution

The fourth proportional to 51.16, 76.31 and 49.56 is: 73.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.16 : 76.31 = 49.56 : x
  2. Step 2: Convert to fraction form
    51.16/76.31 = 49.56/x
  3. Step 3: Cross multiply
    51.16x = 76.31 × 49.56
  4. Step 4: Simplify right side
    51.16x = 3,781.92
  5. Step 5: Solve for x
    x = 3,781.92/51.16
  6. Step 6: Final answer
    x = 73.92

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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.