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Finding the Fourth Proportional to 127.81, 176.28 and 123.57

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Solution

The fourth proportional to 127.81, 176.28 and 123.57 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.81 : 176.28 = 123.57 : x
  2. Step 2: Convert to fraction form
    127.81/176.28 = 123.57/x
  3. Step 3: Cross multiply
    127.81x = 176.28 × 123.57
  4. Step 4: Simplify right side
    127.81x = 21,782.30
  5. Step 5: Solve for x
    x = 21,782.30/127.81
  6. Step 6: Final answer
    x = 170.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.