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Finding the Fourth Proportional to 77.42, 116.09 and 31.76

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Solution

The fourth proportional to 77.42, 116.09 and 31.76 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.09 = 31.76 : x
  2. Step 2: Convert to fraction form
    77.42/116.09 = 31.76/x
  3. Step 3: Cross multiply
    77.42x = 116.09 × 31.76
  4. Step 4: Simplify right side
    77.42x = 3,687.02
  5. Step 5: Solve for x
    x = 3,687.02/77.42
  6. Step 6: Final answer
    x = 47.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.