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Finding the Fourth Proportional to 127.66, 190.75 and 112.04

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Solution

The fourth proportional to 127.66, 190.75 and 112.04 is: 167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.66 : 190.75 = 112.04 : x
  2. Step 2: Convert to fraction form
    127.66/190.75 = 112.04/x
  3. Step 3: Cross multiply
    127.66x = 190.75 × 112.04
  4. Step 4: Simplify right side
    127.66x = 21,370.40
  5. Step 5: Solve for x
    x = 21,370.40/127.66
  6. Step 6: Final answer
    x = 167.40

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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.