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Finding the Fourth Proportional to 51.59, 77.29 and 31.23

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Solution

The fourth proportional to 51.59, 77.29 and 31.23 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.59 : 77.29 = 31.23 : x
  2. Step 2: Convert to fraction form
    51.59/77.29 = 31.23/x
  3. Step 3: Cross multiply
    51.59x = 77.29 × 31.23
  4. Step 4: Simplify right side
    51.59x = 2,413.69
  5. Step 5: Solve for x
    x = 2,413.69/51.59
  6. Step 6: Final answer
    x = 46.78

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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.