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Finding the Fourth Proportional to 123.54, 185.17 and 75.46

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Solution

The fourth proportional to 123.54, 185.17 and 75.46 is: 113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.54 : 185.17 = 75.46 : x
  2. Step 2: Convert to fraction form
    123.54/185.17 = 75.46/x
  3. Step 3: Cross multiply
    123.54x = 185.17 × 75.46
  4. Step 4: Simplify right side
    123.54x = 13,972.93
  5. Step 5: Solve for x
    x = 13,972.93/123.54
  6. Step 6: Final answer
    x = 113.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.