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Finding the Fourth Proportional to 123.06, 169.85 and 102.28

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Solution

The fourth proportional to 123.06, 169.85 and 102.28 is: 141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 169.85 = 102.28 : x
  2. Step 2: Convert to fraction form
    123.06/169.85 = 102.28/x
  3. Step 3: Cross multiply
    123.06x = 169.85 × 102.28
  4. Step 4: Simplify right side
    123.06x = 17,372.26
  5. Step 5: Solve for x
    x = 17,372.26/123.06
  6. Step 6: Final answer
    x = 141.17

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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.