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Finding the Fourth Proportional to 127.02, 189.53 and 119.28

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Solution

The fourth proportional to 127.02, 189.53 and 119.28 is: 177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.02 : 189.53 = 119.28 : x
  2. Step 2: Convert to fraction form
    127.02/189.53 = 119.28/x
  3. Step 3: Cross multiply
    127.02x = 189.53 × 119.28
  4. Step 4: Simplify right side
    127.02x = 22,607.44
  5. Step 5: Solve for x
    x = 22,607.44/127.02
  6. Step 6: Final answer
    x = 177.98

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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.