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Finding the Fourth Proportional to 123.67, 186.25 and 115.57

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Solution

The fourth proportional to 123.67, 186.25 and 115.57 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.67 : 186.25 = 115.57 : x
  2. Step 2: Convert to fraction form
    123.67/186.25 = 115.57/x
  3. Step 3: Cross multiply
    123.67x = 186.25 × 115.57
  4. Step 4: Simplify right side
    123.67x = 21,524.91
  5. Step 5: Solve for x
    x = 21,524.91/123.67
  6. Step 6: Final answer
    x = 174.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.