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Finding the Fourth Proportional to 127.63, 190.48 and 109.35

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Solution

The fourth proportional to 127.63, 190.48 and 109.35 is: 163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.63 : 190.48 = 109.35 : x
  2. Step 2: Convert to fraction form
    127.63/190.48 = 109.35/x
  3. Step 3: Cross multiply
    127.63x = 190.48 × 109.35
  4. Step 4: Simplify right side
    127.63x = 20,828.61
  5. Step 5: Solve for x
    x = 20,828.61/127.63
  6. Step 6: Final answer
    x = 163.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.