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Finding the Fourth Proportional to 127.36, 190.90 and 113.77

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Solution

The fourth proportional to 127.36, 190.90 and 113.77 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.36 : 190.90 = 113.77 : x
  2. Step 2: Convert to fraction form
    127.36/190.90 = 113.77/x
  3. Step 3: Cross multiply
    127.36x = 190.90 × 113.77
  4. Step 4: Simplify right side
    127.36x = 21,718.69
  5. Step 5: Solve for x
    x = 21,718.69/127.36
  6. Step 6: Final answer
    x = 170.53

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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.