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Finding the Fourth Proportional to 113.27, 156.20 and 97.71

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Solution

The fourth proportional to 113.27, 156.20 and 97.71 is: 134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 156.20 = 97.71 : x
  2. Step 2: Convert to fraction form
    113.27/156.20 = 97.71/x
  3. Step 3: Cross multiply
    113.27x = 156.20 × 97.71
  4. Step 4: Simplify right side
    113.27x = 15,261.81
  5. Step 5: Solve for x
    x = 15,261.81/113.27
  6. Step 6: Final answer
    x = 134.74

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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.