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Finding the Fourth Proportional to 127.42, 190.98 and 54.28

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Solution

The fourth proportional to 127.42, 190.98 and 54.28 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 190.98 = 54.28 : x
  2. Step 2: Convert to fraction form
    127.42/190.98 = 54.28/x
  3. Step 3: Cross multiply
    127.42x = 190.98 × 54.28
  4. Step 4: Simplify right side
    127.42x = 10,365.17
  5. Step 5: Solve for x
    x = 10,365.17/127.42
  6. Step 6: Final answer
    x = 81.35

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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.