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Finding the Fourth Proportional to 123.97, 171.28 and 123.06

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Solution

The fourth proportional to 123.97, 171.28 and 123.06 is: 170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.97 : 171.28 = 123.06 : x
  2. Step 2: Convert to fraction form
    123.97/171.28 = 123.06/x
  3. Step 3: Cross multiply
    123.97x = 171.28 × 123.06
  4. Step 4: Simplify right side
    123.97x = 21,077.72
  5. Step 5: Solve for x
    x = 21,077.72/123.97
  6. Step 6: Final answer
    x = 170.02

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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.