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Finding the Fourth Proportional to 127.69, 190.54 and 114.02

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Solution

The fourth proportional to 127.69, 190.54 and 114.02 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.69 : 190.54 = 114.02 : x
  2. Step 2: Convert to fraction form
    127.69/190.54 = 114.02/x
  3. Step 3: Cross multiply
    127.69x = 190.54 × 114.02
  4. Step 4: Simplify right side
    127.69x = 21,725.28
  5. Step 5: Solve for x
    x = 21,725.28/127.69
  6. Step 6: Final answer
    x = 170.14

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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.