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Finding the Fourth Proportional to 113.07, 156.02 and 80.27

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Solution

The fourth proportional to 113.07, 156.02 and 80.27 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.07 : 156.02 = 80.27 : x
  2. Step 2: Convert to fraction form
    113.07/156.02 = 80.27/x
  3. Step 3: Cross multiply
    113.07x = 156.02 × 80.27
  4. Step 4: Simplify right side
    113.07x = 12,523.73
  5. Step 5: Solve for x
    x = 12,523.73/113.07
  6. Step 6: Final answer
    x = 110.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.