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Finding the Fourth Proportional to 123.62, 185.42 and 69.34

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Solution

The fourth proportional to 123.62, 185.42 and 69.34 is: 104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.62 : 185.42 = 69.34 : x
  2. Step 2: Convert to fraction form
    123.62/185.42 = 69.34/x
  3. Step 3: Cross multiply
    123.62x = 185.42 × 69.34
  4. Step 4: Simplify right side
    123.62x = 12,857.02
  5. Step 5: Solve for x
    x = 12,857.02/123.62
  6. Step 6: Final answer
    x = 104.00

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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.