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Finding the Fourth Proportional to 123.89, 169.89 and 111.57

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Solution

The fourth proportional to 123.89, 169.89 and 111.57 is: 153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.89 : 169.89 = 111.57 : x
  2. Step 2: Convert to fraction form
    123.89/169.89 = 111.57/x
  3. Step 3: Cross multiply
    123.89x = 169.89 × 111.57
  4. Step 4: Simplify right side
    123.89x = 18,954.63
  5. Step 5: Solve for x
    x = 18,954.63/123.89
  6. Step 6: Final answer
    x = 153.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.