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Finding the Fourth Proportional to 127.60, 191.46 and 113.20

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Solution

The fourth proportional to 127.60, 191.46 and 113.20 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 191.46 = 113.20 : x
  2. Step 2: Convert to fraction form
    127.60/191.46 = 113.20/x
  3. Step 3: Cross multiply
    127.60x = 191.46 × 113.20
  4. Step 4: Simplify right side
    127.60x = 21,673.27
  5. Step 5: Solve for x
    x = 21,673.27/127.60
  6. Step 6: Final answer
    x = 169.85

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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.