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Finding the Fourth Proportional to 77.53, 116.23 and 31.85

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Solution

The fourth proportional to 77.53, 116.23 and 31.85 is: 47.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.53 : 116.23 = 31.85 : x
  2. Step 2: Convert to fraction form
    77.53/116.23 = 31.85/x
  3. Step 3: Cross multiply
    77.53x = 116.23 × 31.85
  4. Step 4: Simplify right side
    77.53x = 3,701.93
  5. Step 5: Solve for x
    x = 3,701.93/77.53
  6. Step 6: Final answer
    x = 47.75

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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.